- semantic paradoxes
- Following Ramsey and the Italian mathematician G. Peano (1858–1932) it has been customary to distinguish logical paradoxes that depend upon a notion of reference or truth (semantic notions), such as those of the Liar family, Berry, Richards, etc., from the purely logical paradoxes in which no such notions are involved, such as Russell's paradox, or those of Cantor and Burali-Forti . Paradoxes of the first type seem to depend upon an element of self-reference, in which a sentence talks about itself, or in which a phrase refers to something defined by a set of phrases of which it is itself one. It is easy to feel that this element is responsible for the contradictions, although self-reference itself is often benign (the sentence ‘All English sentences should have a verb’ includes itself happily in the domain of sentences it is talking about), so the difficulty lies in forming a condition that excludes only pathological self-reference. Paradoxes of the second kind then need a different treatment. Whilst the distinction is convenient, in allowing set theory to proceed by circumventing the latter paradoxes by technical means, even when there is no solution to the semantic paradoxes, it may be a way of ignoring the similarities between the two families. There is still the possibility that while there is no agreed solution to the semantic paradoxes, our understanding of Russell's paradox may be imperfect as well.
Philosophy dictionary. Academic. 2011.
Look at other dictionaries:
paradoxes — semantic paradoxes … Philosophy dictionary
Semantic theory of truth — A semantic theory of truth is a theory of truth in the philosophy of language which holds that truth is a property of sentences. Contents 1 Origin 2 Tarski s Theory 3 See also … Wikipedia
logical paradoxes — Paradoxes such as Russell s paradox, in which there is no use of semantic terms, are sometimes described as purely logical, in contrast to the semantic paradoxes … Philosophy dictionary
self-reference, paradoxes of — See semantic paradoxes … Philosophy dictionary
logic, history of — Introduction the history of the discipline from its origins among the ancient Greeks to the present time. Origins of logic in the West Precursors of ancient logic There was a medieval tradition according to which the Greek philosopher … Universalium
List of philosophy topics (R-Z) — RRaRabad Rabbinic law Rabbinic theology Francois Rabelais François Rabelais race racetrack paradox racism Gustav Radbruch Janet Radcliffe Richards Sarvepalli Radhakrishnan radical Aristotelianism radical behaviourism radical feminism radical… … Wikipedia
Late medieval logic — Paul Vincent Spade I Medieval logic encompassed more than what we call logic today. It included semantics, philosophy of language, parts of physics, of philosophy of mind and of epistemology. Late medieval logic began around 1300 and lasted… … History of philosophy
Truth — For other uses, see Truth (disambiguation). Time Saving Truth from Falsehood and Envy, François Lemoyne, 1737 Truth has a variety of meanings, such as the state of being in accord with fact or reality … Wikipedia
Twelfth century (The) — The twelfth century John Marenbon INTRODUCTION The twelfth century began and ended with events which mark it off, at least symbolically, as a discrete period in the history of Western philosophy. It was in about 1100 that Abelard the most wide… … History of philosophy
Deflationary theory of truth — A deflationary theory of truth is one of a family of theories which all have in common the claim that assertions that predicate truth of a statement do not attribute a property called truth to such a statement. Contents 1 Redundancy theory 2… … Wikipedia