Philosophy Commons^™

History Of Mathematics, An Intuitive Approach, Alejandro R. Garciadiego

Humanistic Mathematics Network Journal

The main goal of this essay is to discuss, informally, an intuitive approach to the history of mathematics as an academic discipline. The initial point of departure includes the analysis of some traditional definitions of the concept of 'history' taken from standard dictionaries. This concise dissection attempts to suggest the complexity of the discipline.

A Brief Look At Mathematics And Theology, Philip J. Davis

Humanistic Mathematics Network Journal

No abstract provided.

Notes On Formal Constructivism, D. Joyner, P. Lejarraga

Humanistic Mathematics Network Journal

Our aim is to sketch some ideas related to how we (as in, we two) think we (as in, we humans) think. "That theory is useless. It isn't even wrong." - Wolfgang Pauli. Our hope in this paper is to provide a theory, admittedly somewhat vague, of how we think about mathematics. We also hope our ideas do not cause the reader to be reminded of Pauli's quote above. These notes were motivated by the interesting book by Changeaux and Connes.

Aphorisms, Lee Goldstein

Humanistic Mathematics Network Journal

No abstract provided.

Mathematisation Of The Science Of Motion And The Birth Of Analytical Mechanics : A Historiographical Note, Marco Panza

MPP Published Research

Usually, one speaks of mathematization of a natural or social science to mean that mathematics comes to be a tool of such a science: the language of mathematics is used to formulate its results, and/or some mathematical techniques is employed to obtain these results.

A-Logic, Richard Bradshaw Angell

Philosophy Faculty Research Publications

A-LOGIC is a full-length book (600+ pg). It functions as a system of logic designed to: 1) solve the standard paradoxes and major problems of standard mathematical logic; 2) minimize that logic's anomalies with respect to ordinary language, yet; 3) prove that all theorems in mathematical logic are tautologies.

It covers lst order logic the logic of the words "and", "or", "not", "all" and "some". But it also has a non truth functional "if...then" and differs in its definition of validity, its semantics and its theorems. In the book A-logic is contrasted step by step with standard mathematical logic as …

The 'Most Important And Fundamental' Distinction In Logic, G. C. Goddu

Philosophy Faculty Publications

In this paper I argue that the debate over the purported distinction between deductive and inductive arguments can be bypassed because making the distinction is unnecessary for successfully evaluating arguments. I provide a foundation for doing logic that makes no appeal to the distinction and still performs all the relevant tasks required of an analysis of arguments. I also reply to objections to the view that we can dispense with the distinction. Finally, I conclude that the distinction between inductive and deductive arguments is not one of the most important and fundamental ideas in logic, but rather is unnecessary.

Critical Thinking By Alec Fisher (Book Review), G. C. Goddu

Philosophy Faculty Publications

The aim of Critical Thinking is to explicitly and directly teach critical thinking skills and to facilitate the use of these skills to subjects and contexts beyond critical thinking (v, 1). Though the book is primarily intended as an introductory textbook for the teaching of critical thinking, Fisher maintains that the "material is presented in such a way that it can be worked through on a self-study basis"(vi).

Introduction To Logic, Harry Gensler, S.J.

Harry J. Gensler, S.J.

Introduction to Logic offers one of the most clear, interesting and accessible introductions to what has long been considered one of the most challenging subjects in philosophy. Harry Gensler engages students with the basics of logic through practical examples and important arguments both in the history of philosophy and from contemporary philosophy. Using simple and manageable methods for testing arguments, students are led step-by-step to master the complexities of logic.

The Shield Of Achiles, State, Security And New Wars (El Escudo De Aquiles, Estado, Seguridad Y Nuevas Guerras) Spanish, Fernando Estrada

Fernando Estrada

At this stage of the manifestation of irregular warfare conflicts becomes porous, bottom to top and back. The security of states depends on a weak shield vulnerable to unforeseen terrorist actions. This will not come labeled by a single identity but multiplied their masks, may be a timid bystander who walks the streets at noon sweater dress with a teacher dressed and slow. The security policy imposes severe restrictions on basic freedoms, including perhaps most importantly, individual privacy or family.