more from Frank Jackson

### Single Idea 14354

#### [catalogued under 10. Modality / B. Possibility / 8. Conditionals / c. Truth-function conditionals]

Full Idea

(A→A) is a logical truth, so some conditionals with antecedent and consequent the same truth value are true. But if '→' is a truth function, that will be true for all cases. Hence whenever A and B are alike in truth value, (A→B) is true.

Gist of Idea

When A and B have the same truth value, A→B is true, because A→A is a logical truth

Source

Frank Jackson (Conditionals [2006], 'Equiv')

Book Reference

'Blackwell Guide to Philosophy of Language', ed/tr. Devitt,M/Hanley,R [Blackwell 2006], p.213

A Reaction

His second step in demonstrating the truth table for →, assuming it is truth functional.

Related Ideas

Idea 14353
Modus ponens requires that A→B is F when A is T and B is F **[Jackson]**

Idea 14355
(A&B)→A is a logical truth, even if antecedent false and consequent true, so it is T if A is F and B is T **[Jackson]**