Tag: Equivalence

Structure and Equivalence (Elements in the Philosophy of Physics)


Free Download Neil Dewar, "Structure and Equivalence (Elements in the Philosophy of Physics)"
English | 2020 | ISBN: 1108823769 | PDF | pages: 122 | 0.7 mb
This Element explores what it means for two theories in physics to be equivalent (or inequivalent), and what lessons can be drawn about their structure as a result. It does so through a twofold approach. On the one hand, it provides a synoptic overview of the logical tools that have been employed in recent philosophy of physics to explore these topics: definition, translation, Ramsey sentences, and category theory. On the other, it provides a detailed case study of how these ideas may be applied to understand the dynamical and spatiotemporal structure of Newtonian mechanics – in particular, in light of the symmetries of Newtonian theory. In so doing, it brings together a great deal of exciting recent work in the literature, and is sure to be a valuable companion for all those interested in these topics.

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Irreducibility and Computational Equivalence 10 Years After Wolfram’s A New Kind of Science


Free Download Irreducibility and Computational Equivalence: 10 Years After Wolfram’s A New Kind of Science by Hector Zenil
English | PDF (True) | 2013 | 353 Pages | ISBN : 3642354815 | 19.1 MB
It is clear that computation is playing an increasingly prominent role in the development of mathematics, as well as in the natural and social sciences. The work of Stephen Wolfram over the last several decades has been a salient part in this phenomenon helping founding the field of Complex Systems, with many of his constructs and ideas incorporated in his book A New Kind of Science (ANKS) becoming part of the scientific discourse and general academic knowledge-from the now established Elementary Cellular Automata to the unconventional concept of mining the Computational Universe, from today’s widespread Wolfram’s Behavioural Classification to his principles of Irreducibility and Computational Equivalence.

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