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Single Idea 14276
[filed under theme 10. Modality / B. Possibility / 8. Conditionals / c. Truth-function conditionals
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Full Idea
The truth-functional view of conditionals has the unhappy consequence that all conditionals with unlikely antecedents are likely to be true. To think it likely that ¬A is to think it likely that a sufficient condition for the truth of A⊃B obtains.
Gist of Idea
The truth-functional view makes conditionals with unlikely antecedents likely to be true
Source
Dorothy Edgington (Conditionals (Stanf) [2006], 2.3)
Book Ref
'Stanford Online Encyclopaedia of Philosophy', ed/tr. Stanford University [plato.stanford.edu], p.7
A Reaction
This is Edgington's main reason for rejecting the truth-functional account of conditionals. She says it removes our power to discriminate between believable and unbelievable conditionals, which is basic to practical reasoning.
The
14 ideas
from 'Conditionals (Stanf)'
14270
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Simple indicatives about past, present or future do seem to form a single semantic kind
[Edgington]
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14269
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Maybe forward-looking indicatives are best classed with the subjunctives
[Edgington]
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14274
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Inferring conditionals from disjunctions or negated conjunctions gives support to truth-functionalism
[Edgington]
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14271
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Non-truth-functionalist say 'If A,B' is false if A is T and B is F, but deny that is always true for TT,FT and FF
[Edgington]
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14272
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I say "If you touch that wire you'll get a shock"; you don't touch it. How can that make the conditional true?
[Edgington]
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14273
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Conditional Proof is only valid if we accept the truth-functional reading of 'if'
[Edgington]
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14276
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The truth-functional view makes conditionals with unlikely antecedents likely to be true
[Edgington]
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14275
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Truth-function problems don't show up in mathematics
[Edgington]
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14278
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Truth-functionalists support some conditionals which we assert, but should not actually believe
[Edgington]
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14282
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On the supposition view, believe if A,B to the extent that A&B is nearly as likely as A
[Edgington]
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14281
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A thing works like formal probability if all the options sum to 100%
[Edgington]
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14284
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Conclusion improbability can't exceed summed premise improbability in valid arguments
[Edgington]
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14287
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Does 'If A,B' say something different in each context, because of the possibiites there?
[Edgington]
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14290
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Doctor:'If patient still alive, change dressing'; Nurse:'Either dead patient, or change dressing'; kills patient!
[Edgington]
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