搜索结果: 1-15 共查到“科学技术哲学 MATHEMATICAL”相关记录45条 . 查询时间(0.046 秒)
On the mathematical nature of logic,featuring P.Bernays and K.Godel
Bernays Goedel Godel Philosophy of Logic Philosophy of Mathematics
2016/6/15
The paper examines the interrelationship between mathematics and logic, arguing that a central characteristic of each has an essential role within the other. The first part is a reconstruction of and ...
Mathematical Representation:Playing a Role
Mathematical Structuralism Representation Modelling Van Fraassen
2016/6/13
The primary justification for mathematical structuralism is its capacity to explain two observations about mathematical objects, typically natural numbers. Non-eliminative structuralism attributes the...
Absolute, true and mathematical time in Newton’s Principia
Newton absolute time absolute motion true time mathematical time
2016/6/12
I discuss the three distinctions “absolute and relative”, “true and apparent”, and “mathematical and common”, for the specific case of time in Newton’s Principia. I argue that all three distinctions a...
Systems Biology and the Integration of Mechanistic Explanation and Mathematical Explanation
Systems biology integration mechanistic explanation mathematical models mechanisms
2016/6/12
The paper discusses how systems biology is working toward complex accounts that integrate explanation in terms of mechanisms and explanation by mathematical models—which some philosophers have viewed ...
Mathematical Facts in a Physicalist Ontology
physicalism mathematical truth formalism formal system physical theory empiricism
2016/5/31
If physicalism is true, everything is physical. In other words, everything supervenes on, or is necessitated by, the physical. Accordingly, if there are logical/mathematical facts, they must be necess...
Why Mathematical Solutions of Zeno’s Paradoxes Miss The Point: Zeno’s One and Many Relation and Parmenides’ Prohibition
parmenides, zeno, mathematics, infinitesimals, infinity, eleatics, zeno's arrow, stadium, achilles, indeterminate forms
2011/9/8
MATHEMATICAL RESOLUTIONS OF ZENO’s PARADOXES of motion have been offered on a regular basis since the paradoxes were first formulated. In this paper I will argue that such mathematical “solutions” mis...
When the traditional distinction between a mathematical concept and a mathematical intuition is tested against examples taken from the real history of mathematics one can observe the following interes...
When the traditional distinction between a mathematical concept and a mathematical intuition is tested against examples taken from the real history of mathematics one can observe the following interes...
Formal Systems as Physical Objects: A Physicalist Account of Mathematical Truth
mathematical truth physicalism formal systems deduction
2008/4/22
This paper is a brief formulation of a radical thesis. We start with the formalist doctrine that mathematical objects have no meanings; we have marks and rules governing how these marks can be combine...
On Optimism and Opportunism in Applied Mathematics (Mark Wilson Meets John von Neumann on Mathematical Ontology)
Applied mathematics axiomatic method
2008/4/22
Applied mathematics often operates by way of shakily rationalized expedients that can neither be understood in a deductive-nomological nor in an anti-realist setting. Rather do these complexities, so ...
The Ontological Commitments of Mathematical Models
Mathematical realism Indispensability argument Mathematical models
2008/4/21
Some philosophers of mathematics argue that the role of mathematical models in science is merely representational: when scientists use mathematical models they only believe that they are adequate repr...
Toward a Hermeneutic Categorical Mathematicsorwhy Category theory does not support mathematical structuralism
Category theory Hermeneutics Mathematics
2008/4/21
In this paper I argue that Category theory provides an alternative to Hilbert’s Formal Axiomatic method and doesn't support Mathematical Structuralism.
Mathematical Rigor in Physics: Putting Exact Results in Their Place
rigorous results mathematical rigor condensed matter physics
2008/4/15
The present paper examines the role of exact results in the theory of many-body physics, and specifically the example of the Mermin-Wagner theorem, a rigorous result concerning the absence of phase tr...
MATHEMATICAL MODELS IN SCIENCE: A DEBATE ABOUT ONTOLOGY
Mathematical realism Indispensability argument
2008/4/15
Some philosophers of mathematics argue that the role of mathematical models in science is merely representational: when scientists use mathematical models they only believe that they are adequate repr...
Mathematical Kinds, or Being Kind to Mathematics
natural kinds mathematics laws projectability
2008/4/15
In 1908, Henri Poincaré claimed that:
...the mathematical facts worthy of being studied are those which, by their analogy with other facts, are capable of leading us to the knowledge of a mathematica...