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Both the fallacy of division and the fallacy of composition were addressed by Aristotle in Sophistical Refutations.. In the philosophy of the ancient Greek Anaxagoras, as claimed by the Roman atomist Lucretius, [6] it was assumed that the atoms constituting a substance must themselves have the salient observed properties of that substance: so atoms of water would be wet, atoms of iron would be ...
A trivial example might be: "This tire is made of rubber; therefore, the vehicle of which it is a part is also made of rubber." This is fallacious, because vehicles are made with a variety of parts, most of which are not made of rubber. The fallacy of composition can apply even when a fact is true of every proper part of a greater entity, though.
The opposite has also been claimed, for example by Karl Popper, who held that such problems do exist, that they are solvable, and that he had actually found definite solutions to some of them. David Chalmers divides inquiry into philosophical progress in meta-philosophy into three questions. The Existence Question: is there progress in philosophy?
[2] [4] The following year, Oxenford would write for the journal an article on Schopenhauer's philosophy entitled "Iconoclasm in German Philosophy", which, translated into German and printed in the Vossische Zeitung would spark immediate interest of Schopenhauer's work in Germany and propel the obscure figure to lasting philosophical prominence ...
Diairesis (Ancient Greek: διαίρεσις, romanized: diaíresis, "division") is a form of classification used in ancient (especially Platonic) logic that serves to systematize concepts and come to definitions. When defining a concept using diairesis, one starts with a broad concept, then divides this into two or more specific sub-concepts ...
In The Republic (509d–510a), Socrates describes the divided line to Glaucon this way: . Now take a line which has been cut into two unequal parts, and divide each of them again in the same proportion, [1] and suppose the two main divisions to answer, one to the visible and the other to the intelligible, and then compare the subdivisions in respect of their clearness and want of clearness ...
The term continental philosophy, like analytic philosophy, lacks a clear definition and may mark merely a family resemblance across disparate philosophical views. Simon Glendinning has suggested that the term was originally more pejorative than descriptive, functioning as a label for types of western philosophy rejected or disliked by analytic ...
A philosophy of mathematics that denies the reality of the mathematical infinite and the completeness of mathematical truth, requiring constructive proofs. intuitionistic logic A system of logic that reflects the principles of intuitionism, rejecting the law of excluded middle and requiring more constructive proofs of existence.