Results 31 to 40 of about 376,786 (202)

Category theory : definitions and examples [PDF]

open access: yes, 1990
Category theory was invented as an abstract language for describing certain structures and constructions which repeatedly occur in many branches of mathematics, such as topology, algebra, and logic.
Srinivas, Yellamraju V.
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Counterfactual Logic and the Necessity of Mathematics [PDF]

open access: yes
This paper is concerned with counterfactual logic and its implications for the modal status of mathematical claims. It is most directly a response to an ambitious program by Yli-Vakkuri and Hawthorne (2018), who seek to establish that mathematics is ...
Elgin, Samuel
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Linear logic for constructive mathematics

open access: yes, 2018
We show that numerous distinctive concepts of constructive mathematics arise automatically from an interpretation of "linear higher-order logic" into intuitionistic higher-order logic via a Chu construction.
Shulman, Michael
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Does Newtonian space provide identity to quantum systems? [PDF]

open access: yes, 2018
Physics is not just mathematics. This seems trivial, but poses difficult and interesting questions. In this paper we analyse a particular discrepancy between non-relativistic quantum mechanics (QM) and `classical' (Newtonian) space and time (NST).
Krause, Decio
core   +1 more source

A new process foundation for the applied topos [PDF]

open access: yes, 2009
The world is in turmoil for want of sound reasoning. Economics and the environment are but two of many areas of human endeavour badly betrayed through a failed combination of physical and information science and the rule of law.
Heather, Michael, Rossiter, Nick
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