Soru

Zorluk: OrtaSufficient Assumption

For each of the incomplete arguments below, which corresponding assumption, if established, logically guarantees the truth of its conclusion? Match each argument with its sufficient deductive bridge.

  • Dendrochronologist: Any ancient timber sample that exhibits micro-cellular resin saturation was harvested during an extended drought. The ceiling beams recovered from the Oakhaven manor do not contain annual ring compression patterns. Therefore, none of the Oakhaven ceiling beams exhibit micro-cellular resin saturation.Every ancient timber sample harvested during an extended drought exhibits annual ring compression patterns.
  • Bioethicist: Any clinical trial protocol relying on adaptive Bayesian outcome monitoring automatically adjusts dosage allocations without requiring blinded physician intervention. The Lumina trial protocol requires blinded physician intervention. Thus, the Lumina trial protocol cannot be classified as an autonomous experimental design.Every clinical trial protocol that qualifies as an autonomous experimental design relies on adaptive Bayesian outcome monitoring.
  • Urban Planner: Whenever a municipal transit authority implements demand-responsive micro-transit fleets, it reduces municipal spending on fixed-route arterial maintenance. The city of Riverdale experienced a measurable decline in suburban commuter transit satisfaction following its transit overhaul. Hence, the Riverdale transit overhaul involved implementing demand-responsive micro-transit fleets.Any municipal transit overhaul that causes a decline in suburban commuter transit satisfaction involves implementing demand-responsive micro-transit fleets.

Cevap

The dendrochronology argument matches the premise linking drought to ring compression patterns; the bioethics argument matches the premise requiring autonomous designs to rely on adaptive Bayesian monitoring; and the urban planning argument matches the premise stating that satisfaction declines entail demand-responsive fleet implementation.
Each paired premise bridges the exact conceptual gap in its respective argument by establishing a universal conditional relationship, making the conclusion deductively inescapable through modus ponens or modus tollens.

Adım Adım Çözüm

1
Analyze the inferential gap in the dendrochronology argument.
Premises link resin saturation to drought, and note the absence of ring compression. To deduce the absence of resin saturation from the absence of ring compression, we need a conditional bridge from drought to ring compression.
Applying contrapositive logic (no ring compression -> no drought -> no resin saturation) 100% guarantees the conclusion.
2
Analyze the inferential gap in the bioethics argument.
Premises establish that the Lumina protocol does not use adaptive Bayesian monitoring. The conclusion claims Lumina is not an autonomous design.
Connecting 'autonomous design' as a sufficient condition for 'adaptive Bayesian monitoring' allows the contrapositive to deductively yield 'not an autonomous design'.
3
Analyze the inferential gap in the urban planning argument.
Premise notes a decline in suburban commuter satisfaction, and concludes Riverdale implemented demand-responsive fleets.
A sufficient assumption must state that experiencing a satisfaction decline guarantees the implementation of demand-responsive micro-transit fleets.

Anahtar Kavram

Sufficient Assumption and Conditional Deduction
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