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Single Idea 8194

[filed under theme 5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / b. The Heap paradox ('Sorites') ]

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.


The 11 ideas from 'Truth and the Past'

Truth-condition theorists must argue use can only be described by appeal to conditions of truth [Dummett]
The truth-conditions theory must get agreement on a conception of truth [Dummett]
Intuitionists rely on the proof of mathematical statements, not their truth [Dummett]
I no longer think what a statement about the past says is just what can justify it [Dummett]
Verification is not an individual but a collective activity [Dummett]
Undecidable statements result from quantifying over infinites, subjunctive conditionals, and the past tense [Dummett]
Surely there is no exact single grain that brings a heap into existence [Dummett]
A 'Cambridge Change' is like saying 'the landscape changes as you travel east' [Dummett]
Maybe past (which affects us) and future (which we can affect) are both real [Dummett]
The present cannot exist alone as a mere boundary; past and future truths are rendered meaningless [Dummett]
The existence of a universe without sentience or intelligence is an unintelligible fantasy [Dummett]