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deducibility

deducibility

8.2
How well a claim or idea can be proved from facts
  • noun
  • /dɪˈdjuːsəˌbɪlɪti/
  • Specialized
translation icon : deducibilidad
  • The deducibility of conclusions from premises is essential in developing a strong argument.
  • deducibility and grounding
  • logical deducibility

Examples

  • When Bolzano discusses the relation between deducibility and grounding, he remarks that even though he lacks a proof for this claim, it seems quite obvious to him that if a truth is deducible from its complete ground, grounding is preserved under variation.

    Academic text (2016)
  • This is even a case of logical deducibility. Grounding and deducibility are thus compatible. Bolzano is not sure, though, whether grounding always goes hand in hand with deducibility.

    Academic text (2016)
  • Exact deducibility is thus too weak a requirement in the sufficient condition, as it allows for cases that are in conflict with Bolzano's necessary conditions for grounding.

    Academic text (2016)
  • Clearly, Bolzanian deducibility resembles the Tarskian notion of logical consequence in several respects.

    Academic text (2016)
  • This is even a case of logical deducibility. Grounding and deducibility are thus compatible. Bolzano is not sure, though, whether grounding always goes hand in hand with deducibility.

    Academic text (2016)
  • The most important relational properties of Bolzano's notion of grounding can nicely be introduced by contrasting grounding with deducibility.

    Academic text (2016)
  • Being spelled out on the basis of Bolzano's notion of deducibility (Ableitbarkeit), these principles are revealing for the question of to what extent grounding can be considered a formal relation.

    Academic text (2016)
  • Secondly, and more importantly for what follows, deducibility is a ternary relation. It obtains between a collection of premises, a conclusion, and a collection of ideas that are considered to be variable. A result of this is that there are arguments that are deductively valid with respect to some collection of ideas they contain, although they are not logically valid.

    Academic text (2016)
  • In mathematics, the deducibility of a theorem from axioms shows how deeply its truth is rooted.

  • His deducibility about the situation was based on the evidence provided during the discussion.

Synonyms

provability
vsdeducibility
  • Specialized
1 8.6

Being able to show that a statement is true using logical steps

focuses on being inferred from evidence rather than shown by formal proof
demonstrability
vsdeducibility
  • Specialized
7.6

Ability to be shown or proved

allows logical inference from facts or evidence rather than formal demonstration

How Deducible

provability
  • Specialized
1 8.6
deducibility
  • Specialized
8.2
uncertainty
296 4.0
ambiguity
57 6.3

Surface Forms

deducibility singular

Morphology

deducibility = deducible (transparent) = deduce + ible + ity

Formed by adding the productive noun-forming suffix '-ity' to the adjective 'deducible', yielding the expected meaning 'the quality of being deducible'.

Etymology

The word deducibility comes from de- 'from' and duc- 'to lead', the same root you see in produce and reduce. So, if something has deducibility, it can be 'led from' facts to a conclusion — in other words, it can be figured out from the evidence.