Knowledge and the Philosophy of Number: What Numbers Are and How They Are Known (Mind, Meaning and Metaphysics) - Image 1

£92.22

Bloomsbury Knowledge and the Philosophy of Number: What Numbers Are and How They Are Known (Mind, Meaning and Metaphysics)

Name: Knowledge and the Philosophy of Number: What Numbers Are and How They Are Known (Mind, Meaning and Metaphysics)
Brand: Bloomsbury
Price: 92.22 GBP
Availability: InStock

Mathematical Theory

This is the most expensive it has ever been. Walk away.

£92 today · previous high £92 · all-time low £92

NEW HERE?

Amazon shows you one price. We show you all of them.

Tosheroon watches Amazon prices so you don't have to. Every product on Amazon has a price history — we make it visible. Set the price you'd actually pay, and we'll email you the second it gets there. No app, no account, one email.

WHAT'S ON THIS PAGE

↓ Price chart
when this has been cheap or pricey

↓ Forecast
where the price is heading next

↓ Statistics
all-time high & low, recent range

↑ Price alert
name your number, we'll email you

Price History & Forecast

Grey patches = out of stock. Cheaper = lower on the chart. Hover for exact prices.

Last 84 days · 84 data points (no recent data)

Historical

Generating forecast…

Price Distribution

Price distribution over 84 days • 1 price levels

Days at Price

Price Analysis

Most common price: £92 (84 days, 100.0%)

Price range: £92 - £92

Price levels: 1 different prices over 84 days

Description

If numbers were objects, how could there be human knowledge of number? Numbers are not physical objects: must we conclude that we have a mysterious power of perceiving the abstract realm? Or should we instead conclude that numbers are fictions? This book argues that numbers are not objects: they are magnitude properties. Properties are not fictions and we certainly have scientific knowledge of them. Much is already known about magnitude properties such as inertial mass and electric charge, and much continues to be discovered. The book says the same is true of numbers. In the theory of magnitudes, the categorial distinction between quantity and individual is of central importance, for magnitudes are properties of quantities, not properties of individuals. Quantity entails divisibility, so the logic of quantity needs mereology, the a priori logic of part and whole. The three species of quantity are pluralities, continua and series, and the book presents three variants of mereology, one for each species of quantity. Given Euclid’s axioms of equality, it is possible without the use of set theory to deduce the axioms of the natural, real and ordinal numbers from the respective mereologies of pluralities, continua and series. Knowledge and the Philosophy of Number carries out these deductions, arriving at a metaphysics of number that makes room for our a priori knowledge of mathematical reality.

Product Specifications

Brand: Bloomsbury
Format: hardcover
ASIN: 1350102903
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Theory
Domain: Amazon UK
Release Date: 20 February 2020
Listed Since: 21 May 2019

Barcode

No barcode data available

Bloomsbury Knowledge and the Philosophy of Number: What Numbers Are and How They Are Known (Mind, Meaning and Metaphysics)

This is the most expensive it has ever been. Walk away.

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Numbers: A Cultural History

Mathematical Misconceptions: A Guide for Primary Teachers

The Future of Post-Human Number Theory - Mathematics Book

Number Theory in Mathematics Education: Perspectives and Prospects (Studies in Mathematical Thinking and Learning Series)

What is Mathematics: School Guide to Conceptual Understanding of Mathematics

Philosophy of Mathematics - North Holland Hardcover

THE BEAUTY OF ELEMENTARY MATHEMATICS: AND HOW TO TEACH IT

18 Unconventional Essays on the Nature of Mathematics

Perspectives on Mathematical Practices: Bringing Together Philosophy of Mathematics, Sociology of Mathematics, and Mathematics Education: 5 (Logic, Epistemology, and the Unity of Science, 5)

Philosophy and Foundations of Mathematics: L. E. J. Brouwer

Critical Mathematics Education: Theory, Praxis and Reality (Cognition, Equity & Society: International Perspectives)

Learning and Teaching Number Theory: Research in Cognition and Instruction (Mathematics, Learning, and Cognition: Monograph the Journal of Mathematics)

Objects, Structures, and Logics: Philosophy of Mathematics

The Numerical Universe

A Plea for Natural Philosophy: And Other Essays

Rethinking Knowledge: The Heuristic View: 4 (European Studies in Philosophy of Science, 4)