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Russell then discovered that Gottlob Frege had independently arrived at equivalent definitions for 0, successor, and number, and the definition of number is now usually referred to as the Frege-Russell definition. [11] Russell drew attention to Frege's priority in 1903, when he published The Principles of Mathematics (see below). [12]
A cosmological argument can also sometimes be referred to as an argument from universal causation, an argument from first cause, the causal argument or the prime mover argument. The concept of causation is a principal underpinning idea in all cosmological arguments, particularly in affirming the necessity for a First Cause .
Philosopher Peter van Inwagen argues that while Russell's teapot is a fine piece of rhetoric, its logical argument form is less than clear, and attempting to make it clear reveals that the teapot argument is very far from cogent. [8] Another philosopher, Alvin Plantinga, states that a falsehood lies at the heart of Russell's argument. Russell's ...
Bertrand Arthur William Russell, 3rd Earl Russell, OM, FRS [7] (18 May 1872 – 2 February 1970) was a British philosopher, logician, mathematician, and public intellectual. He had influence on mathematics, logic, set theory, and various areas of analytic philosophy. [8]
History of Western Philosophy [a] is a 1946 book by British philosopher Bertrand Russell (1872–1970). A survey of Western philosophy from the pre-Socratic philosophers to the early 20th century, each major division of the book is prefaced by an account of the historical background necessary to understand the currents of thought it describes. [1]
A function of several arguments is predicative if there is one of its arguments such that, when the other arguments have values assigned to them, we obtain a predicative function of the one undetermined argument." [10] They again propose the definition of a predicative function as one that does not violate The Theory of Logical Types. Indeed ...
A famous example of conceptual analysis at its best is given by Bertrand Russell in his theory of descriptions. Russell attempted to analyze propositions that involved definite descriptions (such as "The tallest spy"), which pick out a unique individual, and indefinite descriptions (such as "a spy"), which pick out a set of individuals.
"On Denoting" is an essay by Bertrand Russell.It was published in the philosophy journal Mind in 1905. In it, Russell introduces and advocates his theory of denoting phrases, according to which definite descriptions and other "denoting phrases ... never have any meaning in themselves, but every proposition in whose verbal expression they occur has a meaning."