门闩
发表于 2025-3-23 09:45:16
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飞行员
发表于 2025-3-23 16:41:46
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CRAB
发表于 2025-3-23 20:16:18
Prologue: No Silk-Blouse Social Worker,ptual “bricks” are elementary in nature and essentially involve simple constructions done using the standard numerical systems (e.g., the natural, integer, and real numbers). The most sophisticated notion that is generated (only by space constrains in the presentation) is the one of (mathematical) schemes in modern algebraic geometry.
climax
发表于 2025-3-24 01:09:27
Some Basic Technical (Meta-)Mathematical Preliminaries for Cognitive Metamathematics,ely many variables, field, field extension, group of automorphisms of a field (extension), (base for a) topological space, (ideal associated to a) algebraic set, ring of coordinates of an algebraic set, pre-sheaf and sheaf with values on the category of sets.
蛙鸣声
发表于 2025-3-24 04:58:27
Towards the (Cognitive) Reality of Mathematics and the Mathematics of (Cognitive) Reality structurally delimits the accuracy of any predictive model, as we know them today in modern physics. In this way an unpredictability principle of natural human emerges. Finally, we explore, by means of a couple of thought experiments, under which conditions and hypothesis we could be able to “produce” explicit mathematical objects.
PALMY
发表于 2025-3-24 09:01:22
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Dignant
发表于 2025-3-24 11:25:25
Meta-Modeling of Classic and Modern Mathematical Proofs and Conceptsptual “bricks” are elementary in nature and essentially involve simple constructions done using the standard numerical systems (e.g., the natural, integer, and real numbers). The most sophisticated notion that is generated (only by space constrains in the presentation) is the one of (mathematical) schemes in modern algebraic geometry.
富足女人
发表于 2025-3-24 17:30:12
Conclusion: A Continuing Dilemma,cal proof are analyzed in detail. Finally, basic principles of the local nature of the (conscious) mind are presented where mathematics is considered, to some extent, as an explicit (cognitive) product of it.
Flatus
发表于 2025-3-24 21:53:01
https://doi.org/10.1007/978-1-349-19114-7 former notion(s) is described for predicate logic. Finally, it is shown through concrete examples how these new notions can help to naturally meta-model the way in which our mind solves formal proofs starting with elementary, but not entirely trivial, theorems in a classic Hilbert’s style (propositional) calculus.
Provenance
发表于 2025-3-25 01:36:58
Materialist Feminism and Theatre,eral formalizations of this ability together with its connection with classic notions like primitive positive definability and Diophantineness. Finally, we describe how conceptual substratum can illuminate and enhance the cognitive coherence of (classic) deductive systems like the sequent calculus.