Georg Henrik von Wright was a Finnish philosopher.
Ludwig Josef Johann Wittgenstein was an Austrian philosopher who worked primarily in logic, the philosophy of mathematics, the philosophy of mind, and the philosophy of language.
The Tractatus Logico-Philosophicus is the only book-length philosophical work by the Austrian philosopher Ludwig Wittgenstein that was published during his lifetime. The project had a broad goal: to identify the relationship between language and reality and to define the limits of science. Wittgenstein wrote the notes for the Tractatus while he was a soldier during World War I and completed it during a military leave in the summer of 1918. It was originally published in German in 1921 as Logisch-Philosophische Abhandlung. In 1922 it was published together with an English translation and a Latin title, which was suggested by G. E. Moore as homage to Baruch Spinoza's Tractatus Theologico-Politicus (1670).
Classical logic is the intensively studied and most widely used class of deductive logic. Classical logic has had much influence on analytic philosophy.
Frank Plumpton Ramsey was a British philosopher, mathematician, and economist who made major contributions to all three fields before his death at the age of 26. He was a close friend of Ludwig Wittgenstein and, as an undergraduate, translated Wittgenstein's Tractatus Logico-Philosophicus into English. He was also influential in persuading Wittgenstein to return to philosophy and Cambridge. Like Wittgenstein, he was a member of the Cambridge Apostles, the secret intellectual society, from 1921.
Nonsense is a communication, via speech, writing, or any other symbolic system, that lacks any coherent meaning. In ordinary usage, nonsense is sometimes synonymous with absurdity or the ridiculous. Many poets, novelists and songwriters have used nonsense in their works, often creating entire works using it for reasons ranging from pure comic amusement or satire, to illustrating a point about language or reasoning. In the philosophy of language and philosophy of science, nonsense is distinguished from sense or meaningfulness, and attempts have been made to come up with a coherent and consistent method of distinguishing sense from nonsense. It is also an important field of study in cryptography regarding separating a signal from noise.
Logical atomism is a philosophical view that originated in the early 20th century with the development of analytic philosophy. It holds that the world consists of ultimate logical "facts" that cannot be broken down any further, each of which can be understood independently of other facts.
In logic and analytic philosophy, an atomic sentence is a type of declarative sentence which is either true or false and which cannot be broken down into other simpler sentences. For example, "The dog ran" is an atomic sentence in natural language, whereas "The dog ran and the cat hid" is a molecular sentence in natural language.
The linguistic turn was a major development in Western philosophy during the early 20th century, the most important characteristic of which is the focusing of philosophy primarily on the relations between language, language users, and the world.
Cora Diamond is an American philosopher who works in the areas of moral philosophy, animal ethics, political philosophy, philosophy of language, philosophy and literature, and the thought of Ludwig Wittgenstein, Gottlob Frege, and Elizabeth Anscombe. Diamond is the Kenan Professor of Philosophy Emerita at the University of Virginia.
In the philosophy of language, the context principle is a form of semantic holism holding that a philosopher should "never ... ask for the meaning of a word in isolation, but only in the context of a proposition".
In mathematical logic, a tautology is a formula or assertion that is true in every possible interpretation. An example is "x=y or x≠y". Similarly, "either the ball is green, or the ball is not green" is always true, regardless of the colour of the ball.
Form of life is a term used sparingly by Ludwig Wittgenstein in posthumously published works Philosophical Investigations, On Certainty and in parts of his Nachlass. Wittgenstein in his Tractatus Logico-Philosophicus (TLP) was concerned with the structure of language, responding to Frege and Russell. Later, Wittgenstein found the need to revise the view held in TLP as he did not resolve issues concerning elementary propositions. Leading up to a revised view in his PI, still concerned with language, but now focusing on how it is used and not insisting that it has an inherent structure or set of rules. Deriving from this that language comes about as a result of human activity.
A truth table is a mathematical table used in logic—specifically in connection with Boolean algebra, Boolean functions, and propositional calculus—which sets out the functional values of logical expressions on each of their functional arguments, that is, for each combination of values taken by their logical variables. In particular, truth tables can be used to show whether a propositional expression is true for all legitimate input values, that is, logically valid.
Ideal language philosophy is contrasted with ordinary language philosophy. From about 1910 to 1930, analytic philosophers like Bertrand Russell and Ludwig Wittgenstein emphasized creating an ideal language for philosophical analysis, which would be free from the ambiguities of natural language that, in their opinion, often made for philosophical error. During this phase, Russell and Wittgenstein sought to understand language by using formal logic to formalize the way in which philosophical statements are made. Wittgenstein developed a comprehensive system of logical atomism in his Tractatus Logico-Philosophicus. He thereby argued that the universe is the totality of facts and not things: actual states of affairs and that these states of affairs can be expressed by the language of first-order predicate logic. Thus a picture of the universe can be construed by means of expressing atomic facts in the form of atomic propositions, and linking them using logical operators.
The picture theory of language, also known as the picture theory of meaning, is a theory of linguistic reference and meaning articulated by Ludwig Wittgenstein in the Tractatus Logico-Philosophicus. Wittgenstein suggested that a meaningful proposition pictured a state of affairs or atomic fact. Wittgenstein compared the concept of logical pictures with spatial pictures. The picture theory of language is considered a correspondence theory of truth.
Remarks on the Foundations of Mathematics is a book of Ludwig Wittgenstein's notes on the philosophy of mathematics. It has been translated from German to English by G.E.M. Anscombe, edited by G.H. von Wright and Rush Rhees, and published first in 1956. The text has been produced from passages in various sources by selection and editing. The notes have been written during the years 1937–1944 and a few passages are incorporated in the Philosophical Investigations which were composed later. When the book appeared it received many negative reviews mostly from working logicians and mathematicians, among them Michael Dummett, Paul Bernays, and Georg Kreisel. Today Remarks on the Foundations of Mathematics is read mostly by philosophers sympathetic to Wittgenstein and they tend to adopt a more positive stance.
"Some Remarks on Logical Form" (1929) was the only academic paper ever published by Ludwig Wittgenstein, and contained Wittgenstein's thinking on logic and the philosophy of mathematics immediately before the rupture that divided the early Wittgenstein of the Tractatus Logico-Philosophicus from the late Wittgenstein. The approach to logical form in the paper reflected Frank P. Ramsey's critique of Wittgenstein's account of color in the Tractatus, and has been analyzed by G. E. M. Anscombe and Jaakko Hintikka, among others.
In philosophy, Wittgenstein's ladder is a metaphor set out by Ludwig Wittgenstein about learning. In what may be a deliberate reference to Søren Kierkegaard's Concluding Unscientific Postscript to Philosophical Fragments, the penultimate proposition of the Tractatus Logico-Philosophicus reads:
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My propositions serve as elucidations in the following way: anyone who understands me eventually recognizes them as nonsensical, when he has used them—as steps—to climb beyond them.
He must transcend these propositions, and then he will see the world aright.
Brian McGuinness was a Wittgenstein scholar best known for his translation, with David Pears, of the Tractatus-Logico-Philosophicus.
