Titlebook: Axiomatic Thinking I; Fernando Ferreira,Reinhard Kahle,Giovanni Sommarug Book 2022 Springer Nature Switzerland AG 2022 mathematical logic.

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Book 2022the years to come..The contributions are addressed to mathematical and philosophical logicians, but also to philosophers of science as well as physicists and computer scientists with an interest in foundations..Chapter 8 is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com..

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https://doi.org/10.1007/978-3-662-30536-2ions of proofs telling the reader which rule is applied at a particular step, must be considered part of the proof itself. As a general perspective, it is advocated that the investigation of intensional aspects of proofs should be given more space in proof theory and proof-theoretic semantics.

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Axiomatic Thinking, Identity of Proofs and the Quest for an Intensional Proof-Theoretic Semanticsions of proofs telling the reader which rule is applied at a particular step, must be considered part of the proof itself. As a general perspective, it is advocated that the investigation of intensional aspects of proofs should be given more space in proof theory and proof-theoretic semantics.

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