Topic: HUMAN SEMANTICS
Induction and Comparison
By Paul PietroskiLogical induction may be important for theoretical linguistics, even if children do not induce languages from experience. Either our human capacities for inductive reasoning lie near the heart of our capacity to generate and understand expressions of a human language, or not. If they do, then theoretically minded linguists should try to understand human inductive capacities and the kinds of understanding they make possible, independent of other cognitive capacities. If not, then we should be clear about this, and not pretend otherwise-say, by adopting semantic theories that exploit the full resources of the logic that Frege used to reduce arithmetic to Hume's Principle. But suppose our best theories of language do presuppose that speakers have inductive capacities. Then considerations of theoretical parsimony suggest that we theorists should squeeze as much as we can from our representations of human inductive capacities, before adding controversial assumptions about how speakers understand expressions. This leaves room for hypotheses according to which speakers understand certain sentences in terms of covert quantification over abstracta.
Source: Semantics Archive
