One of the mysteries of the English language finally explained.
- ‘Assuming that the account is correct, to know that an inference is deductively valid is to know that there are no situations in which the premisses are true and the conclusion is not.’
- ‘He could not find deductively a satisfactory relationship between rates of interest and savings levels.’
- ‘Other questions can be answered deductively, by referring to established rules; this is the case, for example, with mathematics, grammar and formal logic.’
- ‘The final proofs of logic and mathematics flow deductively from stated premises and achieve certainty only because they are not about the empirical world.’
- ‘But an argument is deductively valid if it is impossible for all its premises to be true and its conclusion false.’
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