Process categories: the metaphysics, methodology & mathematics, philosophy of nature and process philosophy [PDF]
To apply the metaphysical methodology of mathematics to the logic and form of process in natural philosophy requires a metaphysics above modelling, a methodology more than method and a mathematics beyond the set based topics of arithmetic, algebra ...
Heather, Michael, Rossiter, Nick
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"[M]athematicians care no more for logic than logicians for mathematics." Augustus de Morgan, 1868. Proofs are traditionally syntactic, inductively generated objects.
Hughes, Dominic
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Quotient completion for the foundation of constructive mathematics [PDF]
We apply some tools developed in categorical logic to give an abstract description of constructions used to formalize constructive mathematics in foundations based on intensional type theory.
Maietti, Maria Emilia+1 more
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Collector\u27s Corner, Round 5 [PDF]
Martin Gardner\u27s 300th article for Scientific American appeared in their August, 1998 issue (Cover: New Thinking about Back Pain). It\u27s title A Quarter-Century of Recreational Mathematics, highlights Gardner\u27s 297 Mathematical Games columns ...
Farrell, Jeremiah
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The 1900 Turn in Bertrand Russell’s Logic, the Emergence of his Paradox, and the Way Out [PDF]
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
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Classical Mathematics for a Constructive World
Interactive theorem provers based on dependent type theory have the flexibility to support both constructive and classical reasoning. Constructive reasoning is supported natively by dependent type theory and classical reasoning is typically supported by ...
Geuvers+8 more
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Bisimulation, Logic and Reachability Analysis for Markovian Systems [PDF]
In the recent years, there have been a large amount of investigations on safety verification of uncertain continuous systems. In engineering and applied mathematics, this verification is called stochastic reachability analysis, while in computer science ...
Bujorianu, L.M., Bujorianu, M.C.
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A Coding Theoretic Study on MLL proof nets
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
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Eksperimentasi Model Pembelajaran Kooperatif Tipe Group Investigation (Gi), Think Pair Share (Tps), Dan Pembelajaran Langsung Pada Materi Aljabar Ditinjau Dari Kecerdasan Majemuk Siswa SMP Negeri Se-kota Surakarta Tahun Pelajaran 2015/2016 [PDF]
This research aimed to find out: 1) which one providing better mathematics learning achievement: Group Investigation (GI) model, Think Pair Share (TPS) model, or direct instructional model, 2) which one providing better mathematics learning achievement:
Budiyono, B. (Budiyono)+2 more
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What is a logical diagram? [PDF]
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
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