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Single Idea 15940

[filed under theme 6. Mathematics / A. Nature of Mathematics / 5. The Infinite / c. Potential infinite ]

Full Idea

The intuitionist endorse the actual finite, but only the potential infinite.

Gist of Idea

The intuitionist endorses only the potential infinite

Source

Shaughan Lavine (Understanding the Infinite [1994], VI.2)

Book Ref

Lavine,Shaughan: 'Understanding the Infinite' [Harvard 1994], p.176

The 5 ideas with the same theme [infinity as just not coming to an end]:

13212 Infinity is only potential, never actual [Aristotle]
22929 Aristotle's infinity is a property of the counting process, that it has no natural limit [Aristotle, by Le Poidevin]
9632 Kant only accepts potential infinity, not actual infinity [Kant, by Brown,JR]
15938 Platonists ruin infinity, which is precisely a growing structure which is never completed [Dummett]
15940 The intuitionist endorses only the potential infinite [Lavine]