Sentence examples for As a valid consequence from inspiring English sources

'No sentence is negative, therefore no donkey is running' comes out as a valid consequence according to the criterion thus formulated, because 'No sentence is negative' can never be true: its mere existence falsifies itself whenever it is produced.

According to Buridan, this example should not count as a valid consequence, and one reason he gives for this is that its contrapositive 'Some donkey is running, therefore some sentence is negative' is not a valid consequence.

While they differed in particular in the various definitions given to the formal vs. material consequence distinction, they all agreed that necessary truth-preservation (TP) is a necessary condition for something to count as a (valid) consequence (Dutilh Novaes 2008).

'God does not exist, therefore you are a donkey' counts as a valid consequence according to (TP) ('God does not exist' is considered to be an impossible sentence), but the consequent is not contained in the antecedent in the same way as in 'Socrates is a man, therefore Socrates is an animal'.

The principles of propositional modal logic, found in Prior Analytics I.15, were generally expressed as follows: if the antecedent of a valid consequence is possible/necessary, the consequent is possible/necessary (Abelard, Dialectica 202.6 8).

Alongside with this more technical layer, medieval authors also discussed extensively the very nature of the notion of consequence: what counts as appropriate grounds for a valid consequence, adequate definitions, subdivisions of kinds of consequence etc.

"We accept LDL cholesterol as a valid surrogate," he said.

Today, only 43 per cent Republicans accept evolution as a valid theory.

Chapin defended that as a valid expense.

Acknowledge the belief as a valid interpretation of the events.

Imam Malik accepted qiyas as a valid source of legislation.