If mathematics describes an objective world just like physics, there is no reason why inductive methods should not be applied in mathematics just the same as in physics
In series of articles we continue to advance idea that mathematics and physics is the same. We bring...
Philosophical discussion of applied mathematics has tended to focus on a cluster of related ‘problem...
Abstract. In the first of these two lectures I shall talk generally about experimental mathematics. ...
The object of mathematical rigor is to sanction and legitimize the conquests of intuition, and there...
Seventy-five years ago Kurt Gödel overturned the mathematical apple cart: he proved it is not entir...
This revised and updated second edition maintains the content and spirit of the first edition and in...
It is generally expected that the laws of nature are obtained as the end-product of the scientific p...
From a philosophical viewpoint, mathematics has traditionally been dis-tinguished from the natural s...
A thought experiment involving an omniscient being and quantum mechanics is used to justify non-dedu...
The philosophy of mathematics provides a severe test for a materialist explanation of science. This...
Inspired by indispensability arguments originating from Quine, mathematical realists such as Alan Ba...
The rise of the field of “experimental mathematics” poses an apparent challenge to traditional philo...
"Philosophers have traditionally classified mathematical knowledge as 'a priori' and scientific know...
We investigate several methods of inductive reasoning in the domain of difference equations, includi...
The validity of a mathematical statement is judged by its logical consistency. The validity of a phy...
In series of articles we continue to advance idea that mathematics and physics is the same. We bring...
Philosophical discussion of applied mathematics has tended to focus on a cluster of related ‘problem...
Abstract. In the first of these two lectures I shall talk generally about experimental mathematics. ...
The object of mathematical rigor is to sanction and legitimize the conquests of intuition, and there...
Seventy-five years ago Kurt Gödel overturned the mathematical apple cart: he proved it is not entir...
This revised and updated second edition maintains the content and spirit of the first edition and in...
It is generally expected that the laws of nature are obtained as the end-product of the scientific p...
From a philosophical viewpoint, mathematics has traditionally been dis-tinguished from the natural s...
A thought experiment involving an omniscient being and quantum mechanics is used to justify non-dedu...
The philosophy of mathematics provides a severe test for a materialist explanation of science. This...
Inspired by indispensability arguments originating from Quine, mathematical realists such as Alan Ba...
The rise of the field of “experimental mathematics” poses an apparent challenge to traditional philo...
"Philosophers have traditionally classified mathematical knowledge as 'a priori' and scientific know...
We investigate several methods of inductive reasoning in the domain of difference equations, includi...
The validity of a mathematical statement is judged by its logical consistency. The validity of a phy...
In series of articles we continue to advance idea that mathematics and physics is the same. We bring...
Philosophical discussion of applied mathematics has tended to focus on a cluster of related ‘problem...
Abstract. In the first of these two lectures I shall talk generally about experimental mathematics. ...