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 ...
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 ...
❋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 ...
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 ...
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 ...
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 ...
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 ...
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 ...