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-1
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1answer
104 views

Contradiction, and the Being and Becoming of Mathematics [closed]

Mathematics is rife with contradictions, is shot through with them: the fault-lines lie where theories collide, fade or open up. Does this disturb the incarnation of mathematics - the Ideal ...
3
votes
3answers
153 views

GUT and TOE as Fallacies of Misplaced Concreteness?

A.N. Whitehead warns in the introduction to Process and Reality, that the “chief error” of Western philosophy is “overstatement.” He states: “the aim at generalization is sound, but the estimate of ...
0
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1answer
108 views

Question regarding proof of ❋3.47 in Principia Mathematica by Whitehead and Russell

❋3.03 in the the last step seems unnecessary. Can someone explain to me why 3.03 is listed? The last step can be written out in full like this: ⊦: p .⊃. q ⊃ r ...
0
votes
2answers
154 views

Question regarding the proof 3.3 in the Principia Mathematica

As far as I can understand, the key of PM is to make sure there are no leaps and gaps when making inferences. In other words, all the premises and rules of inferences should be explicitly enumerated ...
6
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4answers
260 views

Can we do without Necessity?

It appears that necessity is a dead idea that, unfortunately, only philosophers still gush over. The association of epistemological and logical necessity with ontological necessity ran its course ...
4
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1answer
118 views

Should Time and Space Serve as Necessary or Contingent modalities of Division in Cosmology?

In the introduction to Process and Reality, Whitehead criticizes the tendency to posit logical or ontological necessity as the primary modes of cosmological explanation. For Whitehead time is a ...
12
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2answers
293 views

Whitehead's Radical Empiricism and Inversion of Principia Mathematica

Whitehead contends in Process and Reality that propositions are “hybrid entities” which act as “lures for feeling.” The famous co-author of Principia Mathematica scolds the traditional conventions of ...
2
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0answers
152 views

Cosmological truth and the theory of cosmic epochs

According to Whitehead’s theory of cosmic epochs and extensive continuum, there are material conditions that drive the more general metaphysical descriptions and principles. We only can account for ...