An essay on the foundations of geometry by Bertrand Russell

An essay on the foundations of geometry by Bertrand Russell

By Bertrand Russell

This is often Russell's first philosophical paintings released in 1897. The booklet offers an perception into his earliest analytical and important inspiration, in addition to an advent to the philosophical and logistical foundations of non-Euclidean geometry, a model of that's vital to Einstein's thought of relativity.

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10 Despite their tremendous influence on late Scholastic thought, however, the general decline of Scholasticism and the emergence of a new scientific and philosophical attitude in the seventeenth and eighteenth centuries did not spare Buridan’s works. Although there were scattered publications of his works, most notably of his Summulae, as late as in , and some even in , they gradually came to be looked on with scorn, along with the rest of the Scholastic output, as containing useless cavils not worthy of serious philosophical consideration.

These are intriguing questions deserving separate study. In fact, such questions were extensively discussed by late medieval logicians, taking their cue primarily from Ockham and Buridan. Compare Peter of Ailly, Concepts and Insolubles, trans. P. V. Spade (Dordrecht: Reidel, ), esp. pp. –, –; E. J. Ashworth, ‘‘The Structure of Mental Language,’’ Vivarium  (): –. . Other examples of complexive concepts are the logical functions of conjunction, disjunction, conditional, and so on.

On this basis, common categorematic terms can be classified as either absolute (nonconnotative) or appellative (connotative). One should note here that Buridan does not provide an explicit definition of any of the basic properties of terms that he covers in this treatise. Instead, his aim seems to be to teach them in practice, by pointing out their differences through examples. Nevertheless, on the basis of these examples we may attempt to provide some definitions for our own use. Thus, we may say that the signification of a common categorematic term is its relation to its ultimate significata, namely, the things naturally represented by the universal concept to which the term is subordinated.

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