Parallel Quantifier Logic

10 questions

All types10 Multiple choice6 Multiple select2 Matching2

Some of the bronze artifacts excavated at the ancient city of Oakhaven contain trace amounts of zinc. Furthermore, every bronze artifact containing trace amounts of zinc is highly susceptible to rapid oxidation when exposed to humid air. Therefore, some of the bronze artifacts excavated at Oakhaven are highly susceptible to rapid oxidation when exposed to humid air.

Which of the following arguments exhibit a pattern of reasoning logically parallel to that in the argument above? Select all that apply.

Select all that apply

Some of the corporate bonds issued by Vertex Inc. have been downgraded to junk status. Any corporate bond downgraded to junk status carries a significant default risk. Thus, some of the corporate bonds issued by Vertex Inc. carry a significant default risk.

Every tropical cyclone forming in the eastern basin experiences intense wind shear. Since some weather systems tracked by the national observatory are tropical cyclones forming in the eastern basin, it follows that some weather systems tracked by the national observatory experience intense wind shear.

Most of the patients participating in the trial reported mild fatigue. All patients who reported mild fatigue were administered the standard dosage. Hence, most of the patients participating in the trial were administered the standard dosage.

Some of the newly planted saplings have wilted. All trees that lack sufficient water will wilt. Therefore, some of the newly planted saplings lack sufficient water.

All imported vehicles must pass a stringent emissions test. Some vehicles that pass a stringent emissions test are exempt from the standard luxury tax. Thus, all imported vehicles are exempt from the standard luxury tax.

Show answer & explanation

Answer: Some of the corporate bonds issued by Vertex Inc. have been downgraded to junk status. Any corporate bond downgraded to junk status carries a significant default risk. Thus, some of the corporate bonds issued by Vertex Inc. carry a significant default risk.; Every tropical cyclone forming in the eastern basin experiences intense wind shear. Since some weather systems tracked by the national observatory are tropical cyclones forming in the eastern basin, it follows that some weather systems tracked by the national observatory experience intense wind shear.

Answer

The correct arguments are those discussing Vertex Inc. corporate bonds and tropical cyclones.

The stimulus presents a valid syllogism combining an existential quantifier ('some') with a universal quantifier ('every/all') to yield an existential conclusion: Some A are B; All B are C; Therefore, Some A are C. The correct answers both perfectly replicate this valid transitive chain. The corporate bond scenario uses the exact same order of premises, while the tropical cyclone scenario reverses the order of the premises but maintains the identical logical chain, which is completely acceptable in parallel reasoning.

Step-by-Step Solution

Analyze the logical structure of the stimulus.

Premise 1: Some A (bronze artifacts) are B (contain zinc). Premise 2: All B (contain zinc) are C (susceptible to oxidation). Conclusion: Some A (bronze artifacts) are C (susceptible to oxidation).

Identifying the formal logic and quantifier chain is necessary to find identical parallel structures.

Evaluate the validity of the stimulus argument.

The argument is a valid deduction. If a subgroup of A belongs entirely to B, and all of B belongs to C, then that subgroup of A must also belong to C.

A parallel argument must share the same validity status (valid or invalid) as the original.

Examine the answer choices for matching structure and validity.

The argument about corporate bonds follows 'Some A are B, All B are C -> Some A are C'. The argument about tropical cyclones follows 'All B are C, Some A are B -> Some A are C'. Both perfectly match the logical chaining and quantifier scope.

To be parallel, the options must chain a 'some' relationship through a universal 'all/any/every' condition to reach a valid 'some' conclusion.

Key Concept

Parallel Quantifier Logic requires matching not only the structural relationships between terms but also the precise strength of the quantifiers used (e.g., distinguishing 'some' from 'most' or 'all') and the overall validity of the deduction.

Question 2Question →

Most architects working in the modernist tradition deliberately avoid ornamentation. Furthermore, most architects working in the modernist tradition prioritize functional spatial layouts. It follows logically that at least some architects who avoid ornamentation prioritize functional spatial layouts.

The pattern of reasoning in the argument above is most logically similar to that in which one of the following?

Most local politicians support the new zoning law. Most supporters of the new zoning law also support property tax reform. Thus, some local politicians support property tax reform.

Some ancient artifacts are preserved in museums. Some ancient artifacts are entirely privately owned. Therefore, some items preserved in museums are entirely privately owned.

Most classical symphonies heavily feature a string section. Additionally, most classical symphonies are divided into four distinct movements. Consequently, some classical symphonies that heavily feature a string section are divided into four distinct movements.

All corporate lawyers have passed a rigorous bar exam. Some individuals who have passed a rigorous bar exam are currently practicing judges. Hence, some corporate lawyers are currently practicing judges.

Most commercial pilots undergo physiological testing. Anyone who undergoes physiological testing must learn advanced stress management techniques. So, most commercial pilots must learn advanced stress management techniques.

Show answer & explanation

Answer: Most classical symphonies heavily feature a string section. Additionally, most classical symphonies are divided into four distinct movements. Consequently, some classical symphonies that heavily feature a string section are divided into four distinct movements.

Answer

The argument about classical symphonies heavily featuring a string section and being divided into four movements.

The correct answer accurately replicates the 'Most + Most = Some' logical structure of the stimulus. It assigns two majority traits to a single subject (classical symphonies), and validly deduces that because both traits apply to more than half of the subject, there must be an overlap where at least some entities possess both traits.

Step-by-Step Solution

Analyze the logical structure of the stimulus argument.

Premise 1: Most A (modernist architects) are B (avoid ornamentation). Premise 2: Most A (modernist architects) are C (prioritize functional layouts). Conclusion: Therefore, some B are C.

Identifying the formal abstract pattern of the argument is required before finding its parallel.

Determine the validity of the stimulus argument.

The argument is logically valid. Because 'most' means more than half, if more than half of A are B, and more than half of A are C, those two majority subgroups must mathematically intersect, guaranteeing that at least some B are C.

A parallel argument must match not just the quantifier distribution, but also the logical validity of the original argument.

Evaluate the answer choices to find the exact structural match (Most A are B; Most A are C; therefore, Some B are C).

The option concerning classical symphonies matches this structure precisely: Most A (symphonies) are B (string section); Most A (symphonies) are C (four movements); therefore, Some B are C.

Only one option will maintain the exact premise-to-conclusion logical flow and quantifier strength.

Key Concept

Parallel Quantifier Logic

Question 3Question →

All botanists possess a deep understanding of plant biology. Some participants at the current conference are botanists. Therefore, some participants at the current conference possess a deep understanding of plant biology.

Which of the following arguments is most similar in its logical structure to the argument above?

All experienced pilots undergo rigorous training. Some members of the local aviation club are experienced pilots. Therefore, some members of the local aviation club undergo rigorous training.

Most experienced pilots undergo rigorous training. Some members of the local aviation club are experienced pilots. Therefore, some members of the local aviation club undergo rigorous training.

All experienced pilots undergo rigorous training. Some members of the local aviation club are experienced pilots. Therefore, all members of the local aviation club undergo rigorous training.

All experienced pilots undergo rigorous training. Some members of the local aviation club undergo rigorous training. Therefore, some members of the local aviation club are experienced pilots.

All botanists study plant genetics. Some scientists who study plant genetics are biologists. Therefore, some botanists are biologists.

Show answer & explanation

Answer: All experienced pilots undergo rigorous training. Some members of the local aviation club are experienced pilots. Therefore, some members of the local aviation club undergo rigorous training.

Answer

The argument stating that all experienced pilots undergo rigorous training, some aviation club members are experienced pilots, and therefore some members undergo rigorous training.

The correct answer exactly mimics the structural logic of the original argument. The original argument states: All A (botanists) are B (deep understanding). Some C (participants) are A (botanists). Therefore, some C (participants) are B (deep understanding). The correct option states: All A (experienced pilots) are B (rigorous training). Some C (club members) are A (experienced pilots). Therefore, some C (club members) are B (rigorous training). Both are logically valid and use the exact same distribution of quantifiers.

Step-by-Step Solution

Analyze the logical structure of the stimulus argument.

Premise 1: All Botanists (A) -> Plant Biology (B). Premise 2: Some Participants (C) -> Botanists (A). Conclusion: Some Participants (C) -> Plant Biology (B).

To identify the exact quantifier logic pattern that needs to be paralleled.

Determine the validity of the stimulus.

The argument is a perfectly valid deductive syllogism.

Parallel reasoning requires matching both the structural terms (quantifiers) and the validity of the argument.

Evaluate the options to find the identical structure.

The correct argument matches the 'All A are B, Some C are A, thus Some C are B' structure perfectly using pilots, training, and club members.

This guarantees identical quantifier logic and deductive validity.

Key Concept

Parallel Quantifier Logic

Estimated Time:1m 0s

Question 4Question →

Sociologist: Most successful grassroots campaigns rely on decentralized leadership. Furthermore, any organization relying on decentralized leadership must utilize digital communication platforms. Interestingly, most successful grassroots campaigns operate with minimal funding. Therefore, some initiatives operating with minimal funding must utilize digital communication platforms.

Which of the following arguments exhibit a pattern of reasoning that is logically parallel to that of the sociologist's argument? Select all that apply.

Select all that apply

Most atmospheric phenomena are driven by temperature gradients. All phenomena driven by temperature gradients require continuous energy input. Most atmospheric phenomena are observable from space. Thus, some events observable from space require continuous energy input.

Most contemporary novels feature morally ambiguous protagonists. Every story featuring morally ambiguous protagonists challenges traditional narratives. Most contemporary novels receive mixed reviews from critics. Hence, some works receiving mixed reviews from critics challenge traditional narratives.

Most deep-sea organisms possess bioluminescent properties. All organisms possessing bioluminescent properties utilize luciferin. Some deep-sea organisms are discovered at depths below 4000 meters. Therefore, some organisms discovered at depths below 4000 meters utilize luciferin.

Most historical treaties were drafted during periods of economic instability. Only documents drafted during periods of economic instability are preserved in the national archives. Most historical treaties contain secret clauses. So, some documents containing secret clauses are preserved in the national archives.

Most technological revolutions cause temporary job displacement. All events causing temporary job displacement require robust social safety nets. Most technological revolutions ultimately improve living standards. Consequently, most events that ultimately improve living standards require robust social safety nets.

Show answer & explanation

Answer: Most atmospheric phenomena are driven by temperature gradients. All phenomena driven by temperature gradients require continuous energy input. Most atmospheric phenomena are observable from space. Thus, some events observable from space require continuous energy input.; Most contemporary novels feature morally ambiguous protagonists. Every story featuring morally ambiguous protagonists challenges traditional narratives. Most contemporary novels receive mixed reviews from critics. Hence, some works receiving mixed reviews from critics challenge traditional narratives.

Answer

The correct arguments are the one regarding atmospheric phenomena and the one regarding contemporary novels.

The correct arguments maintain the exact formal logic sequence of the stimulus: 'Most A are B, All B are C, Most A are D, Conclusion: Some D are C'. The 'atmospheric phenomena' and 'contemporary novels' examples replicate this valid intersection of two 'most' statements (which guarantees a 'some' overlap), combined correctly with a universal 'all' statement.

Step-by-Step Solution

Deconstruct the formal logic of the stimulus.

The argument translates to: Most A are B; All B are C; Most A are D; Therefore, Some D are C.

Identifying the abstract algebraic structure of the premises and conclusion is essential for evaluating and finding parallel arguments.

Determine the logical validity of the stimulus.

The argument is valid. Combining 'Most A are B' and 'All B are C' mathematically implies 'Most A are C'. The overlap between 'Most A are C' and 'Most A are D' mathematically guarantees the conclusion 'Some D are C'.

Parallel reasoning requires matching not just the phrasing patterns, but the exact validity of the logical deductions.

Evaluate the choices for identical structural mappings.

The arguments regarding 'atmospheric phenomena' and 'contemporary novels' perfectly mirror the 'Most / All / Most -> Some' structure and are mathematically valid.

These choices maintain exact quantifier distribution and conclusion strength.

Eliminate choices with structural or quantifier flaws.

The remaining arguments shift 'Most' to 'Some', reverse the conditional relationship from 'All B are C' to 'Only B are C', or inappropriately escalate the conclusion to 'Most'.

Any deviation in quantifier scope or conditional direction breaks the logical parallelism.

Key Concept

Parallel Quantifier Logic and Set Overlaps

Estimated Time:3m 0s

Question 5Question →

Most of the ancient manuscripts discovered in the desert caves were written on parchment. However, none of the documents translated by Dr. Vance were written on parchment. It follows that most of the ancient manuscripts discovered in the desert caves were not translated by Dr. Vance.

Which one of the following arguments exhibits a pattern of reasoning most logically similar to that exhibited by the argument above?

Most multinational corporations have implemented strict internal privacy protocols. No start-up tech companies have implemented strict internal privacy protocols. Thus, most multinational corporations are not start-up tech companies.

Most local bakeries source their flour from regional mills. No national grocery chains source their flour from regional mills. Consequently, most national grocery chains are not local bakeries.

Some deep-sea creatures rely on bioluminescence to attract prey. No freshwater fish rely on bioluminescence to attract prey. As a result, some deep-sea creatures are not freshwater fish.

All certified organic farms avoid the use of synthetic pesticides. Most urban community gardens do not avoid the use of synthetic pesticides. Hence, most urban community gardens are not certified organic farms.

Most registered voters support the new municipal tax initiative. No foreign diplomats residing in the city are registered voters. Therefore, most foreign diplomats do not support the new municipal tax initiative.

Show answer & explanation

Answer: Most multinational corporations have implemented strict internal privacy protocols. No start-up tech companies have implemented strict internal privacy protocols. Thus, most multinational corporations are not start-up tech companies.

Answer

The argument about multinational corporations and start-up tech companies perfectly parallels the logical structure of the stimulus.

The correct answer exactly mirrors the formal logic of the stimulus. It sets up a 'Most X are Y' relationship (Most multinational corporations have strict protocols) and a 'No Z are Y' relationship (No start-up tech companies have strict protocols), leading to the valid deduction 'Therefore, most X are not Z' (most multinational corporations are not start-up tech companies).

Step-by-Step Solution

Analyze the logical structure of the stimulus.

Premise 1: Most A (manuscripts) are B (on parchment). Premise 2: No C (translated by Vance) are B (on parchment). Conclusion: Most A (manuscripts) are not C (translated by Vance).

Identifying the abstract formula of the argument is required before finding its parallel match.

Determine the validity of the original argument.

The argument is logically valid. Since none of C overlaps with B, the majority of A (which overlaps with B) cannot possibly overlap with C.

Parallel reasoning questions require matching both the exact quantifier structure and the argument's validity.

Evaluate the answer choices against the abstract formula: Most X are Y. No Z are Y. Therefore, most X are not Z.

Only the argument regarding multinational corporations matches this exact valid structure and quantifier sequence.

Eliminating options with mismatched quantifiers (Some, All) or invalid structural flaws (illegal reversals/negations) isolates the correct choice.

Key Concept

Parallel Quantifier Logic

Question 6Question →

Most of the newly hired software engineers at TechCorp have a background in artificial intelligence. Moreover, most of the newly hired software engineers at TechCorp prefer working remotely rather than in the office. Consequently, at least a few people with a background in artificial intelligence prefer working remotely.

Which of the following arguments exhibits a pattern of reasoning most similar to that exhibited by the argument above?

Most of the historical novels published this year are over four hundred pages long, and most of the historical novels published this year feature female protagonists. It follows that some novels that are over four hundred pages long feature female protagonists.

Most tropical fish require a saltwater tank to survive, and most fish that require a saltwater tank are expensive to maintain. Thus, at least a few tropical fish are expensive to maintain.

Most competitive chess players spend hours studying opening moves. Most competitive chess players also participate in online tournaments. Hence, most people who spend hours studying opening moves participate in online tournaments.

Every student in the advanced literature seminar has read Shakespeare, and most students in the advanced literature seminar appreciate classic poetry. Consequently, at least some students who have read Shakespeare appreciate classic poetry.

Most commercial pilots are fluent in English, and most air traffic controllers are fluent in English. Therefore, at least some commercial pilots are air traffic controllers.

Show answer & explanation

Answer: Most of the historical novels published this year are over four hundred pages long, and most of the historical novels published this year feature female protagonists. It follows that some novels that are over four hundred pages long feature female protagonists.

Answer

The correct answer is the argument concerning historical novels, their page lengths, and female protagonists.

The correct answer precisely mirrors the logical structure of the stimulus. It introduces two premises that share an identical subject group modified by a 'most' quantifier, and it correctly draws a valid conclusion using a 'some' quantifier to indicate the guaranteed overlap. The logical mapping is identical: Most A are B, Most A are C; therefore, some B are C.

Step-by-Step Solution

Analyze the formal logical structure and quantifiers of the stimulus argument.

The stimulus structure is: Most A (newly hired engineers) are B (background in AI). Most A (newly hired engineers) are C (prefer remote work). Conclusion: Some B are C.

Identifying the exact quantifier placement and logical relationships is the required first step for parallel reasoning questions.

Determine the validity of the stimulus argument.

The argument is logically valid. Since 'most' implies strictly more than half, two 'most' statements applied to the exact same subject group mathematically guarantee an overlap between the two distinct properties.

Parallel reasoning requires matching both the formal structure and the underlying logical validity.

Evaluate the answer choices to identify the exact structural match.

The correct option applies the identical structure: Most A (historical novels) are B (over 400 pages). Most A (historical novels) are C (female protagonists). Conclusion: Some B are C.

The correct answer must strictly preserve the identical quantifier distribution, term positioning, and conclusion strength.

Key Concept

Parallel Quantifier Logic ensures that arguments share identical quantifier scope (All, Most, Some, None) and structural term placement to produce the same logical validity.

Estimated Time:2m 0s

Question 7Question →

Match each logical argument on the left to its logically parallel counterpart on the right. Both the distribution of quantifiers and the logical validity (or specific flaw) must perfectly align.

Click a left item, then click its matching right item

Show answer & explanation

Answer

The correct matches pair arguments sharing identical quantifier sequences and logical validity: the parks argument matches the novels argument (valid Most/All); the vintage cars argument matches the symphonies argument (flawed Some/Most); the trains argument matches the bakeries argument (valid No/Some); and the organic farms argument matches the startups argument (flawed Most/Most).

Each paired set features identical formal logic. The 'parks' and 'novels' arguments validly combine a 'Most' and 'All' premise. The 'vintage cars' and 'symphonies' arguments share an invalid deduction inferring a 'Most' relationship from a 'Some' and 'Most' premise. The 'high-speed trains' and 'local bakeries' arguments correctly deduce a 'Some... not' conclusion from a 'No' and 'Some' premise. The 'organic farms' and 'startup founders' arguments share the flaw of concluding 'Most' from two 'Most' premises.

Step-by-Step Solution

Map the formal logic structure of the first argument on the left.

The public parks argument follows: Most A are B. All B are C. Therefore, Most A are C. This is a valid deduction.

Establishing the baseline structure and validity is necessary before finding a parallel match.

Identify the parallel valid structure among the right-side options.

The modern novels argument mirrors this perfectly: Most A are B. All B are C. Therefore, Most A are C.

Parallel reasoning requires identical logical mapping, irrespective of subject matter.

Map the remaining structures on the left, paying close attention to logical flaws.

Vintage cars: Some A are B. Most A are C. Therefore, Most B are C (Invalid). Trains: No A are B. Some C are B. Therefore, Some C are not A (Valid). Organic farms: Most A are B. Most A are C. Therefore, Most B are C (Invalid).

Identifying the specific mechanism of flawed arguments is critical, as flawed structures must be paired with identically flawed structures.

Pair the remaining arguments based on identical structures and validity.

Trains (No/Some valid) matches bakeries. Vintage cars (Some/Most invalid) matches symphonies. Organic farms (Most/Most invalid) matches startups.

Complete the matching process by ensuring all quantifier variables and conclusions map 1-to-1.

Key Concept

Parallel Quantifier Logic

Estimated Time:2m 0s

Question 8Question →

Most of the residential buildings in the downtown district were constructed before 1950. Furthermore, every building constructed before 1950 features cast-iron plumbing. Therefore, it must be true that most of the residential buildings in the downtown district feature cast-iron plumbing.

Which one of the following arguments exhibits a pattern of reasoning that is most parallel to that in the argument above?

Most of the bakery's signature cakes contain almonds. Most foods containing almonds are dangerous to people with nut allergies. So, most of the bakery's signature cakes are dangerous to people with nut allergies.

Every employee at the agency receives annual compliance training. Most people who receive annual compliance training find it incredibly tedious. Hence, most employees at the agency find the training incredibly tedious.

Most of the senators on the committee voted for the amendment. Anyone who voted for the amendment is considered an ally of the governor. Thus, most of the senators on the committee are considered allies of the governor.

Some of the migratory birds arriving this season are visibly malnourished. Every visibly malnourished bird requires immediate veterinary care. Consequently, some of the migratory birds arriving this season require immediate veterinary care.

Most of the vintage cars at the auction are convertibles. Every vintage car at the auction has been fully restored. Therefore, most of the convertibles at the auction have been fully restored.

Show answer & explanation

Answer: Most of the senators on the committee voted for the amendment. Anyone who voted for the amendment is considered an ally of the governor. Thus, most of the senators on the committee are considered allies of the governor.

Answer

The argument about the senators on the committee voting for the amendment correctly parallels the stimulus by combining a 'most' premise and an 'all' premise to reach a valid 'most' conclusion.

The correct answer accurately mirrors the logical structure of the stimulus: Most A (senators on the committee) are B (voted for the amendment). All B (anyone who voted for the amendment) are C (ally of the governor). Therefore, Most A are C (allies of the governor).

Step-by-Step Solution

Analyze the logical structure of the stimulus argument.

Premise 1: Most A are B. Premise 2: All B are C. Conclusion: Therefore, Most A are C.

To find a parallel argument, you must first accurately map the quantifiers and their relationship in the original text.

Evaluate the logical validity of the original argument.

The argument is logically valid. Since most A's fall into the category of B, and every single B falls into the category of C, those A's must logically also fall into C.

A parallel argument must match both the quantifier distribution and the structural validity (valid vs. flawed) of the stimulus.

Examine each answer choice for matching quantifier structure and term relationships.

The correct choice must follow the exact 'Most A are B. All B are C. -> Most A are C.' pattern.

Eliminating choices that use 'some' instead of 'most', or that misalign the subjects and conditions, ensures an exact structural match.

Key Concept

Parallel Quantifier Logic

Question 9Question →

Some organisms dwelling in the abyssal zone are bioluminescent. Since no bioluminescent organisms possess functioning chloroplasts, it follows that some organisms dwelling in the abyssal zone do not possess functioning chloroplasts.

Which of the following arguments exhibits a pattern of reasoning most logically similar to that exhibited by the argument above?

Some contemporary novels are written entirely in verse. Since no books written entirely in verse are easily translated, it follows that some contemporary novels are not easily translated.

Most contemporary novels are written entirely in verse. Since no books written entirely in verse are easily translated, it follows that most contemporary novels are not easily translated.

Some contemporary novels are written entirely in verse. Since no contemporary novels are easily translated, it follows that no books written entirely in verse are easily translated.

Some contemporary novels are written entirely in verse. Since all books written entirely in verse require careful reading, it follows that some contemporary novels require careful reading.

Some contemporary novels are not written entirely in verse. Since no books written entirely in verse are easily translated, it follows that some contemporary novels are easily translated.

Show answer & explanation

Answer: Some contemporary novels are written entirely in verse. Since no books written entirely in verse are easily translated, it follows that some contemporary novels are not easily translated.

Answer

The argument about contemporary novels that are not easily translated.

The correct argument matches the exact logical blueprint of the original passage. Let A = contemporary novels, B = written entirely in verse, and C = easily translated. The structure is 'Some A are B. No B are C. Therefore, some A are not C.' This perfectly mirrors the 'Some A are B. No B are C. Therefore, some A are not C' structure of the stimulus.

Step-by-Step Solution

Analyze the logical structure of the stimulus.

Premise 1: Some A (abyssal zone organisms) are B (bioluminescent). Premise 2: No B (bioluminescent organisms) are C (possess functioning chloroplasts). Conclusion: Some A (abyssal zone organisms) are not C (possess functioning chloroplasts).

Identifying the formal logic components and quantifiers is necessary to find an exact structural match.

Evaluate the validity of the stimulus.

The argument is logically valid. The intersection of A and B guarantees that at least one A is subject to the rule that excludes all B from C.

A parallel argument must share the exact same validity status.

Examine the answer choices for a matching structural pattern.

The correct answer matches the pattern perfectly: Some X (contemporary novels) are Y (written in verse). No Y (written in verse) are Z (easily translated). Therefore, some X are not Z.

This guarantees identical quantifier distribution and logical flow.

Key Concept

Parallel Quantifier Logic

Question 10Question →

Pair each passage on the left with the passage on the right that mirrors its exact underlying sequence of quantifiers and its logical validity.

Click a left item, then click its matching right item

Show answer & explanation

Answer

Left 1 matches Right 4; Left 2 matches Right 1; Left 3 matches Right 2; Left 4 matches Right 3.

The correct pairings abstract away the subject matter completely and focus solely on the formal structure of the argument. Valid arguments are matched strictly with valid arguments containing the exact same sequence of quantifiers, and logically flawed arguments are matched with arguments demonstrating the exact same specific quantifier misuse.

Step-by-Step Solution

Analyze the formal logic and quantifier distribution of the arguments on the left side.

Left 1 is a valid 'Most+All' deduction. Left 2 is a valid 'Some+None' deduction. Left 3 is a flawed 'Most+Most' argument. Left 4 is a flawed 'All+Some' argument.

To identify the exact formal logic pattern required for a parallel match.

Analyze the formal logic and quantifier distribution of the arguments on the right side.

Right 1 is a valid 'Some+None'. Right 2 is a flawed 'Most+Most'. Right 3 is a flawed 'All+Some'. Right 4 is a valid 'Most+All'.

To map out the available structural templates for pairing.

Pair the arguments that share identically matching structures.

The valid 'Most+All' (Left 1) pairs with Right 4. The valid 'Some+None' (Left 2) pairs with Right 1. The flawed 'Most+Most' (Left 3) pairs with Right 2. The flawed 'All+Some' (Left 4) pairs with Right 3.

Parallel logic requires stripping away the subject matter and aligning the purely structural quantifier relationships.

Key Concept

Parallel Quantifier Logic

Parallel Quantifier Logic

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