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Full Idea
There is surely no number n such that "n grains of sand do not make a heap, although n+1 grains of sand do" is true.
Gist of Idea
Surely there is no exact single grain that brings a heap into existence
Source
Michael Dummett (Truth and the Past [2001], 4)
Book Ref
Dummett,Michael: 'Truth and the Past (Dewey Lectures)' [Columbia 2004], p.60
A Reaction
It might be argued that there is such a number, but no human being is capable of determing it. Might God know the value of n? On the whole Dummett's view seems the most plausible.
8189 | Truth-condition theorists must argue use can only be described by appeal to conditions of truth [Dummett] |
8191 | The truth-conditions theory must get agreement on a conception of truth [Dummett] |
8190 | Intuitionists rely on the proof of mathematical statements, not their truth [Dummett] |
8192 | I no longer think what a statement about the past says is just what can justify it [Dummett] |
8193 | Verification is not an individual but a collective activity [Dummett] |
8195 | Undecidable statements result from quantifying over infinites, subjunctive conditionals, and the past tense [Dummett] |
8194 | Surely there is no exact single grain that brings a heap into existence [Dummett] |
8198 | A 'Cambridge Change' is like saying 'the landscape changes as you travel east' [Dummett] |
8197 | Maybe past (which affects us) and future (which we can affect) are both real [Dummett] |
8196 | The present cannot exist alone as a mere boundary; past and future truths are rendered meaningless [Dummett] |
8199 | The existence of a universe without sentience or intelligence is an unintelligible fantasy [Dummett] |