—‘this consequence’, …; cf.
“If a crime is committed, there should be a consequence,” she said, “but that consequence needs to be proportionate to the crime itself.
Signes by Inference, are sometimes the consequence of Words; sometimes the consequence of Silence; sometimes the consequence of Actions; sometimes the consequence of Forbearing an Action: and generally a signe by Inference, of any Contract, is whatsoever sufficiently argues the will of the Contractor.
Logic is about logical consequence.
This consequence too is now said to be absurd.
Any consequence relation that fails this condition is nonmonotonic.
The resulting defeasible consequence relation is a preferential relation.
Actually, Löb’s theorem can be proved quite quickly as a consequence of the second incompleteness theorem.
It is fair to say that the Consequence Argument earned the incompatibilists an important dialectical advantage.
In the classical case, truth would be a limiting case of consequence, namely consequence without hypotheses.
The consequence relation of a logic system can be given in several ways, some using proof-theoretic tools, others semantic means.
In the case of functions derived from natural selection, he views a “virtuous” consequence as an adaptive consequence.
Twentieth Century technical work on the notion of logical consequence has centered on two different mathematical tools, proof theory and model theory.
Once monotonicity is given up, the question arises: why call the relation of defeasible consequence a logical consequence relation at all?
The Relativist agrees with the Demarcater that logical consequence must be understood as formal consequence, and so presupposes a distinction between logical and nonlogical constants.
Thus, if a consequence relation is paraconsistent, then even in circumstances where the available information is inconsistent, the consequence relation does not explode into triviality.
It is common to encounter formulations of rules of consequence in obligational terms, for example: if you have conceded the consequence and its antecedent, then you must concede the consequent.
In his much-discussed 1936 paper ‘On the concept of logical consequence’, Tarski presents two criteria of material adequacy for formal accounts of logical consequence, which jointly capture the ‘common notion’ of logical consequence (or so he claims).
Explaining logical consequence in terms of truth in models is rather close to explaining logical consequence in terms of truth, and the analysis of truth-in-a-model is sometimes taken to be an explication of truth in terms of correspondence, a typically Realist notion.
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.
- a phenomenon that follows and is caused by some previous phenomenon
- the outcome of an event especially as relative to an individual
- having important effects or influence
Example: decisions of great consequence are made by the president himself
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