deducibility
- noun
- /dɪˈdjuːsəˌbɪlɪti/
- Specialized
- The deducibility of conclusions from premises is essential in developing a strong argument.
- deducibility and grounding
- logical deducibility
Examples
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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.
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His deducibility about the situation was based on the evidence provided during the discussion.
Synonyms
Being able to show that a statement is true using logical steps
Ability to be shown or proved
How Deducible
Surface Forms
Morphology
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.