This volume brings together twelve previously unpublished essays on the theme of Wittgenstein on practice and on the insight that careful attention to human or animal activity is essential for thinking about philosophical problems.
First published in 1971, Professor Putnam's essay concerns itself with the ontological problem in the philosophy of logic and mathematics - that is, the issue of whether the abstract entities spoken of in logic and mathematics really exist.
This handbook features essays written by both literary scholars and mathematicians that examine multiple facets of the connections between literature and mathematics.
This book offers an up-to-date overview of the research on philosophy of mathematics education, one of the most important and relevant areas of theory.
Mathematical Puzzle Tales from Mount Olympus uses fascinating tales from Greek Mythology as the background for introducing mathematics puzzles to the general public.
Cassirer hätte den Satz, daß Wissenschaftsgeschichte ohne Wissenschaftstheorie blind und Wissenschaftstheorie ohne Wissenschaftsgeschichte leer sei, ohne Einschränkung unterschrieben.
The Equation of Knowledge: From Bayes' Rule to a Unified Philosophy of Science introduces readers to the Bayesian approach to science: teasing out the link between probability and knowledge.
There is a long tradition, in the history and philosophy of science, of studying Kant's philosophy of mathematics, but recently philosophers have begun to examine the way in which Kant's reflections on mathematics play a role in his philosophy more generally, and in its development.
This collection documents the work of the Hyperuniverse Project which is a new approach to set-theoretic truth based on justifiable principles and which leads to the resolution of many questions independent from ZFC.
In Mathematics of the Transcendental, Alain Badiou painstakingly works through the pertinent aspects of category theory, demonstrating their internal logic and veracity, their derivation and distinction from set theory, and the 'thinking of being'.
This book provides the first English translation of the Greek text of the Spherics of Theodosios (2nd-1st century BCE), a canonical mathematical and astronomical text used from as early as the 2nd century CE until the early modern period.
This is a collection of new investigations and discoveries on the theory of opposition (square, hexagon, octagon, polyhedra of opposition) by the best specialists from all over the world.
This book, presented in two parts, offers a slow introduction to mathematical logic, and several basic concepts of model theory, such as first-order definability, types, symmetries, and elementary extensions.
How a simple equation reshaped mathematicsLeonhard Euler's polyhedron formula describes the structure of many objects-from soccer balls and gemstones to Buckminster Fuller's buildings and giant all-carbon molecules.
This handbook features essays written by both literary scholars and mathematicians that examine multiple facets of the connections between literature and mathematics.
This study looks to the work of Tarski's mentors Stanislaw Lesniewski and Tadeusz Kotarbinski, and reconsiders all of the major issues in Tarski scholarship in light of the conception of Intuitionistic Formalism developed: semantics, truth, paradox, logical consequence.
Model theory, a major branch of mathematical logic, plays a key role connecting logic and other areas of mathematics such as algebra, geometry, analysis, and combinatorics.
A look at one of the most exciting unsolved problems in mathematics todayElliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics-the Birch and Swinnerton-Dyer Conjecture.
This volume considers the exchange between the Neo-Kantian tradition in German philosophy and the sciences from the last third of the nineteenth century to the Great war and partly beyond.
This publication includes an unabridged and annotated translation of two works by Johann Heinrich Lambert (1728-1777) written in the 1760s: Vorlaufige Kenntnisse fur die, so die Quadratur und Rectification des Circuls suchen and Memoire sur quelques proprietes remarquables des quantites transcendentes circulaires et logarithmiques.
This volume contains ten papers that have been collected by the Canadian Society for History and Philosophy of Mathematics/Societe canadienne d'histoire et de philosophie des mathematiques.
This book demonstrates how a radical version of physicalism ('No-Self Physicalism') can offer an internally coherent and comprehensive philosophical worldview.
"e;The philosophy of mathematics will naturally be expected to deal with questions at the frontier of knowledge, as to which comparative certainty is not yet attained.
Lowenheim's theorem reflects a critical point in the history of mathematical logic, for it marks the birth of model theory--that is, the part of logic that concerns the relationship between formal theories and their models.
In the mid-eighteenth century, Swiss-born mathematician Leonhard Euler developed a formula so innovative and complex that it continues to inspire research, discussion, and even the occasional limerick.
Wer Analysis lernt, fragt sich irgendwann: Wie und warum kamen all diese merkwürdigen Begriffe zustande – Zahl, Funktion, Stetigkeit, Konvergenz, Differenzial, Integral?
Plato's Ghost is the first book to examine the development of mathematics from 1880 to 1920 as a modernist transformation similar to those in art, literature, and music.
The Untold Story of Everything Digital: Bright Boys, Revisited celebrates the 70th anniversary (1949-2019) of the world "e;going digital"e; for the very first time-real-time digital computing's genesis story.