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To Ask The Right Question Is Harder Than To Answer It.
-Georg Cantor
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To Ask The Right Question Is Harder
Georg Cantor
To Ask The Right Question Is Harder Than To Answer It.
Views: 17110
Topic
Math
Answers
Harder
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The Potential Infinite Means Nothing Other Than An Undetermined, Variable Quantity, Always Remaining Finite, Which Has To Assume Values That Either Become Smaller Than Any Finite Limit No Matter How Small, Or Greater Than Any Finite Limit No Matter How Great.
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The Actual Infinite Arises In Three Contexts: First When It Is Realized In The Most Complete Form, In A Fully Independent Otherworldly Being, In Deo, Where I Call It The Absolute Infinite Or Simply Absolute; Second When It Occurs In The Contingent, Created World; Third When The Mind Grasps It In Abstracto As A Mathematical Magnitude, Number Or Order Type.
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A Set Is A Many That Allows Itself To Be Thought Of As A One.
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Mathematics Is Entirely Free In Its Development, And Its Concepts Are Only Linked By The Necessity Of Being Consistent, And Are Co-ordinated With Concepts Introduced Previously By Means Of Precise Definitions.
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Every Transfinite Consistent Multiplicity, That Is, Every Transfinite Set, Must Have A Definite Aleph As Its Cardinal Number.
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