A Dictionary of Philosophical Logic by Roy T. Cook

By Roy T. Cook

This worthy reference introduces undergraduate and post-graduate scholars to the most difficulties and positions of philosophical good judgment. parts comprise the most important figures, positions, terminology, and debates inside philosophical good judgment in addition to concerns that pertain to similar, overlapping disciplines, equivalent to set concept and the philosophy of arithmetic. Entries are generally cross-referenced for identity in the context of wider debates.
(1/1/10)

Show description

Read or Download A Dictionary of Philosophical Logic PDF

Similar philosophy books

Masochism: Coldness and Cruelty & Venus in Furs

In his lovely essay, Coldness and Cruelty, Gilles Deleuze offers a rigorous and expert philosophical exam of the paintings of the overdue 19th-century German novelist Leopold von Sacher-Masoch. Deleuze's essay, definitely the main profound research but produced at the family among sadism and masochism, seeks to advance and clarify Masoch's "peculiar means of 'desexualizing' love whereas even as sexualizing the whole historical past of humanity.

Derrida's Deconstruction of the Subject: Writing, Self and Other

Derrida is among the such a lot influential, debatable and complicated thinkers. The publication deals a serious evaluate of deconstruction through concentrating on the complex of writing, self and different within the considered Derrida. It examines how those innovations relate to each other that allows you to examine systematically the effect that the idea that of alterity has had in deconstructing a undeniable suggestion of subjectivity in Western metaphysics.

Architecture of Modern Mathematics: Essays in History and Philosophy

This edited quantity, aimed toward either scholars and researchers in philosophy, arithmetic and heritage of technological know-how, highlights major advancements within the overlapping components of philosophy and the heritage of contemporary arithmetic. it's a coherent, broad ranging account of the way a few issues within the philosophy of arithmetic needs to be reconsidered within the mild of the most recent old study, and the way a couple of ancient money owed may be deepened by way of embracing philosophical questions.

Towards a Philosophy of Real Mathematics

Corfield units out numerous ways to new pondering the philosophy of arithmetic.

Additional resources for A Dictionary of Philosophical Logic

Example text

Thus, the truth table for choice negation (where N is the third value) is: A T N F ~A F N T See also: Boolean Negation, Bottom, DeMorgan Negation, Exclusion Negation, Falsum CHOICE SEQUENCE see Free Choice Sequence CHOICE SET A choice set for a set S is a set containing exactly one member from each set contained in S. The axiom of choice can be understood as asserting that for each non-empty set of sets S there is a choice set for S. See also: Axiom of Countable Choice, Axiom of Dependent Choice, Choice Function, Global Choice, Zorn’s Lemma CHRONOLOGICAL LOGIC see Temporal Modal Logic CHURCH’S THEOREM Church’s Theorem states that validity in first-order logic is not decidable – that is, there is no decision procedure for determining, of an arbitrary formula from a firstorder language, whether or not it is a logical truth.

To derive the paradox, assume that there was an order-type of all ordinal numbers, that is, an ordinal number corresponding to the standard ordering on the collection of all ordinal numbers. Call this order-type Γ. Then, by the principle above, the order-type of the ordinal numbers less than Γ is Γ. So the order-type of the ordinal numbers less than or equal to Γ, that is, the order-type of all the ordinal numbers, is Γ+1. But this contradicts our assumption that the order-type of all the ordinal numbers is Γ, since Γ ≠ Γ+1.

See also: Kripke Semantics, Kripke Structure, Modality b The second letter of the Hebrew alphabet, b is used to denote a particular type of infinite cardinal number. Subscripted ordinal numbers are used to distinguish, and order, the b’s. b0 is identical b to a 0 , the first infinite cardinal. b1 is identical to 2 0. b2 is identical to b 2 1 … and generally: bi b i+1 = 2 1004 02 pages 001-322:Layout 1 16/2/09 15:11 Page 29 barbara 29 With the b notation in place, we can succinctly express both the continuum hypothesis and the generalized continuum hypothesis.

Download PDF sample

Rated 4.26 of 5 – based on 16 votes