Precision, Language and Logic by F. H. George (Auth.)

By F. H. George (Auth.)

Show description

Read Online or Download Precision, Language and Logic PDF

Best logic & language books

The Cambridge Companion to Wittgenstein

Ludwig Wittgenstein is without doubt one of the most crucial and influential philosophers of the 20 th century, yet he's additionally one of many least obtainable. This quantity offers a understandable consultant to his paintings by way of quite a lot of specialists who're actively engaged in new paintings on Wittgenstein. The essays, that are either expository and unique, tackle vital issues in his philosophy of brain, language, good judgment, and arithmetic and make clear the connections one of the diversified phases within the improvement of his paintings.

Marxism and the Philosophy of Language

Volosinov's very important paintings, first released in Russian in 1929, needed to wait a new release for popularity. this primary paperback version of the English translation might be capital for literary theorists, philosophers, linguists, psychologists, and so forth. Volosinov is out to undo the previous disciplinary obstacles among linguistics, rhetoric, and poetics so as to build a brand new type of box: semiotics or textual concept.

A Study of Kant's Psychology With Reference to the Critical Philosophy

Such a lot reviews of the serious philosophy continue traditionally, logically, or metaphysically. They hint the exterior affects upon it, and its improvement inK ants brain; or, they inquire into its consistencies and try out its power from its personal ideas; or, taking it as truth-expressing, they seek its metaphysical validity.

Diccionario de Logica y Filosofia de la Ciencia

Booklet by means of Mosterin, Jesus, Torretti, Roberto

Extra info for Precision, Language and Logic

Sample text

Similarly a rule of inference is independent if when it is omitted from the system, some of the theorems of the full system are no longer theorems of the remaining axiomatic system. We could also say more tersely that for an axiom, x say, to be independent is to say that M x is false" is consistent with the rest of the system. This reduces the problem of independence to that of consistency. This means that if we place an interpretation on the system, all the axioms except x become true, since x is independent.

2. If A and B are wf (A D B) is wf. and no other formula is wf This sort of definition is one that supplies defining provides a limitation that other than those that follow from these rules. a recursive one, where a recursive definition is characteristics such as in 1 and 2 above, and then this is all that is a defining characteristic. We shall now consider only wff in our discussion, and one of our main aims is how to distinguish those wff that are theorems (or true statements of the system) from those that are not.

Let us explain our dot convention. p D (q D p) is written P D • Q D P since p D q D p would be interpreted as (P D q ) 3 P Similarly P D Q D P D P is read as ( ( ( p D q ) D P) D P) Precision, Language and Logic 40 whereas if we wanted (p D (q D (p D P))) would be written P D • Q D : P D P where : takes precedence over . and, of course, :. so on. In other words dots are effectively brackets. would precede : , and Look again at:- P D • q D'P we insert a left bracket for the dot and then need its right bracket to properly mate it:P D (q DP) But there is also the association to the left rule which means (p D q) DP is the same as P D q DP Similarly, combining the two rules we read P D P D q D - P D q as ((p DP) D q ) D (p Dq) and P D - p D q D : p D q D q D- P D q as ((p D(pD q)) D ( ( ( p D q ) Dq) D(p Dq) Sometimes a compromise notation would lead to the writing of this last example as:( p D - P D q ) D .

Download PDF sample

Rated 4.80 of 5 – based on 13 votes