Results 31 to 40 of about 391,075 (200)

A Coding Theoretic Study on MLL proof nets

open access: yes, 2010
Coding theory is very useful for real world applications. A notable example is digital television. Basically, coding theory is to study a way of detecting and/or correcting data that may be true or false. Moreover coding theory is an area of mathematics,
Girard   +4 more
core   +1 more source

What is a logical diagram? [PDF]

open access: yes, 2011
Robert Brandom’s expressivism argues that not all semantic content may be made fully explicit. This view connects in interesting ways with recent movements in philosophy of mathematics and logic (e.g.
Legg, Catherine
core  

The 1900 Turn in Bertrand Russell’s Logic, the Emergence of his Paradox, and the Way Out [PDF]

open access: yes, 2016
Russell’s initial project in philosophy (1898) was to make mathematics rigorous reducing it to logic. Before August 1900, however, Russell’s logic was nothing but mereology. First, his acquaintance with Peano’s ideas in August 1900 led him to discard the
Milkov, Nikolay
core  

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
core  

A Vernacular for Coherent Logic

open access: yes, 2014
We propose a simple, yet expressive proof representation from which proofs for different proof assistants can easily be generated. The representation uses only a few inference rules and is based on a frag- ment of first-order logic called coherent logic.
A. Blass   +16 more
core   +2 more sources

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
core  

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
core  

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.
core  

Towards the Development of Computational Thinking and Mathematical Logic through Scratch [PDF]

open access: diamond, 2021
Benjamín Maraza-Quispe   +6 more
openalex   +1 more source

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