Mathematical Knowledge and the Interplay of Practices

This book presents a new approach to the epistemology of mathematics by viewing mathematics as a human activity whose knowledge is intimately linked with practice. Charting an exciting new direction in the philosophy of mathematics, José Ferreirós uses the crucial idea of a continuum to provide an account of the development of mathematical knowledge that reflects the actual experience of doing math and makes sense of the perceived objectivity of mathematical results. Describing a historically oriented, agent-based philosophy of mathematics, Ferreirós shows how the mathematical tradition evolved from Euclidean geometry to the real numbers and set-theoretic structures. He argues for the need to take into account a whole web of mathematical and other practices that are learned and linked by agents, and whose interplay acts as a constraint. Ferreirós demonstrates how advanced mathematics, far from being a priori, is based on hypotheses, in contrast to elementary math, which has strong cognitive and practical roots and therefore enjoys certainty. Offering a wealth of philosophical and historical insights, Mathematical Knowledge and the Interplay of Practices challenges us to rethink some of our most basic assumptions about mathematics, its objectivity, and its relationship to culture and science.

Produk Detail:

  • Author : José Ferreirós
  • Publisher : Princeton University Press
  • Pages : 360 pages
  • ISBN : 0691167516
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKMathematical Knowledge and the Interplay of Practices

Mathematical Knowledge and the Interplay of Practices

Mathematical Knowledge and the Interplay of Practices
  • Author : José Ferreirós
  • Publisher : Princeton University Press
  • Release : 22 December 2015
GET THIS BOOKMathematical Knowledge and the Interplay of Practices

This book presents a new approach to the epistemology of mathematics by viewing mathematics as a human activity whose knowledge is intimately linked with practice. Charting an exciting new direction in the philosophy of mathematics, José Ferreirós uses the crucial idea of a continuum to provide an account of the development of mathematical knowledge that reflects the actual experience of doing math and makes sense of the perceived objectivity of mathematical results. Describing a historically oriented, agent-based philosophy of

Interplay

Interplay
  • Author : Bernie DeKoven,Intensive Learning Center,School District of Philadelphia, Pa
  • Publisher : Unknown Publisher
  • Release : 05 March 1971
GET THIS BOOKInterplay

Jane Austen and the Interplay of Character

Jane Austen and the Interplay of Character
  • Author : Ivor Morris
  • Publisher : A&C Black
  • Release : 01 February 1998
GET THIS BOOKJane Austen and the Interplay of Character

The unique force of Jane Austen's novels lies in the interplay of character. Nothing much happens, on the surface; but, as in life, minor shifts and changes evoke enormous consequences in the lives of individuals. In this stimulating book, Ivor Morris anatomises one of her best-loved characters: 'conceited, pompous, narrow-minded, silly' Mr Collins.

Evaluating Theory-Practice and Urban-Rural Interplay in Planning

Evaluating Theory-Practice and Urban-Rural Interplay in Planning
  • Author : Dino Borri,Abdul Khakee,Cosimo Lacirignola
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOKEvaluating Theory-Practice and Urban-Rural Interplay in Planning

This volume contains a selection of papers presented at the second workshop on Evaluation and Planning held at Centre International de Hautes Etudes Agronomiques Mediterraneennes (CIHEAM) in Valenzano (Bari) in November 1993. The workshop was financially and otherwise supported by the School of Engineering, Bari Polytechnic; the School of Agriculture, University of Bari; and CIHEAM. The publication of this book was made possible by to the efforts of the contributing authors. Several other persons have provided invaluable support for the workshop

Gene-environment Interplay

Gene-environment Interplay
  • Author : Marla B. Sokolowski,Stephen F. Goodwin
  • Publisher : Academic Press
  • Release : 05 March 2021
GET THIS BOOKGene-environment Interplay

The field of genetics is rapidly evolving, and new medical breakthroughs are occurring as a result of advances in knowledge gained from genetics reasearch. This thematic volume of Advances in Genetics looks at Socio-Genetics. * Includes methods for testing with ethical, legal, and social implications * Critically analyzes future prospects

Microbiome Interplay and Control

Microbiome Interplay and Control
  • Author : Christine Moissl-Eichinger,Gabriele Berg,Martin Grube
  • Publisher : Frontiers Media SA
  • Release : 05 July 2018
GET THIS BOOKMicrobiome Interplay and Control

In complex systems, such as our body or a plant, the host is living together with thousands of microbes, which support the entire system in function and health. The stability of a microbiome is influenced by environmental changes, introduction of microbes and microbial communities, or other factors. As learned in the past, microbial diversity is the key and low-diverse microbiomes often mirror out-of-control situations or disease. It is now our task to understand the molecular principles behind the complex interaction

Dynamics of Cell Fate Decision Mediated by the Interplay of Autophagy and Apoptosis in Cancer Cells

Dynamics of Cell Fate Decision Mediated by the Interplay of Autophagy and Apoptosis in Cancer Cells
  • Author : Iman Tavassoly
  • Publisher : Springer
  • Release : 16 February 2015
GET THIS BOOKDynamics of Cell Fate Decision Mediated by the Interplay of Autophagy and Apoptosis in Cancer Cells

This interdisciplinary thesis introduces a systems biology approach to study the cell fate decision mediated by autophagy. A mathematical model of interaction between Autophagy and Apoptosis in mammalian cells is proposed. In this dynamic model autophagy acts as a gradual response to stress (Rheostat) that delays the initiation of bistable switch of apoptosis to give the cells an opportunity to survive. The author shows that his dynamical model is consistent with existing quantitative measurements of time courses of autophagic responses

Poetic Interplay

Poetic Interplay
  • Author : Michael C.J. Putnam
  • Publisher : Princeton University Press
  • Release : 11 April 2009
GET THIS BOOKPoetic Interplay

The lives of Catullus and Horace overlap by a dozen years in the first century BC. Yet, though they are the undisputed masters of the lyric voice in Roman poetry, Horace directly mentions his great predecessor, Catullus, only once, and this reference has often been taken as mocking. In fact, Horace's allusion, far from disparaging Catullus, pays him a discreet compliment by suggesting the challenge that his accomplishment presented to his successors, including Horace himself. In Poetic Interplay, the first

A dynamic interplay between membranes and the cytoskeleton critical for cell development and signaling

A dynamic interplay between membranes and the cytoskeleton critical for cell development and signaling
  • Author : Clément Thomas,Christopher J Staiger
  • Publisher : Frontiers E-books
  • Release : 23 October 2014
GET THIS BOOKA dynamic interplay between membranes and the cytoskeleton critical for cell development and signaling

Various cellular processes underlying plant development and response to environmental cues rely on a dynamic interplay between membranes and the cytoskeleton, e.g. vesicle and organelle trafficking, endocytosis, exocytosis, and signal transduction. In recent years, significant progress in the understanding of such interplay has been achieved and several critical links between membranes and the cytoskeleton have been characterized. As an example, recent work has clarified how auxin promotes the reorganization of cortical actin filaments by the activation of Rho GTPase