作者: Pruritus 時間: 2025-3-22 00:10
,Automated Search for G?del’s Proofs,isons with the literature are detailed in Section 4. (The general mathematical heuristics are indeed general: in Appendix . we show that they, together with two simple algebraic facts and the logical strategies, suffice to find a proof of “√2 is not rational”.)作者: bile648 時間: 2025-3-22 03:33
Book 2008res and physical processes? What is the characteristic use of a proof as a com- tation, as opposed to its use as an experiment? What does natural science tell us about the e?ectiveness of proof? What is the role of mathematical proofs in the discovery and validation of empirical theories? The papers作者: capsule 時間: 2025-3-22 05:34 作者: Cpap155 時間: 2025-3-22 10:30
The Logic of the Weak Excluded Middle: A Case Study of Proof-Search,ountermodel? It is a well known result [.] that Lemma 1. (Hosoi) If a wff A contains the propositional letters ..,...,.. then A is a theorem of J iff (?.. ? ??..) ? ? ? (?.. ? ??..) → . is a theorem of the intuitionistic logic.作者: Esophagus 時間: 2025-3-22 14:04
Quantum Combing,anguage theory, finite group theory, and quantum computation theory can lead to new views. As working study-case the problem of combing finite groups will be dealt with, which bridges language theoretical issues with structural and algorithmic issues.作者: Esophagus 時間: 2025-3-22 19:23
?ectiveness of proof brings out a number of questions that have always been latent in the informal understanding of the subject. What makes a symbolic constr- tion signi?cant? What makes an assumption reasonable? What makes a proof reliable? G¨ odel, Church and Turing, in di?erent ways, achieve a de作者: 名詞 時間: 2025-3-22 22:37
https://doi.org/10.1007/978-3-642-91522-2 than experiments. ‘Theoretical Mathematics’, a new synthesis of mathematics and theoretical physics proposed by Jaffe and Quinn in the 1990’s [12], looks at pure mathematics as a sort of experimental testing ground for certain physical theories (and in particular for associated toy models).作者: Gleason-score 時間: 2025-3-23 05:18
Schmerzmessung und -dokumentatione the bilateral symmetry coupling any possibility with its negation, sized by “complex probability amplitudes”, may dissolve the ‘ignorance’ of classical probabilities as well as the ‘blindness’ of finite mechanical procedures.作者: flourish 時間: 2025-3-23 09:17
Toy Models in Physics and the Reasonable Effectiveness of Mathematics, than experiments. ‘Theoretical Mathematics’, a new synthesis of mathematics and theoretical physics proposed by Jaffe and Quinn in the 1990’s [12], looks at pure mathematics as a sort of experimental testing ground for certain physical theories (and in particular for associated toy models).作者: 或者發(fā)神韻 時間: 2025-3-23 12:00
Proof as a Path of Light,e the bilateral symmetry coupling any possibility with its negation, sized by “complex probability amplitudes”, may dissolve the ‘ignorance’ of classical probabilities as well as the ‘blindness’ of finite mechanical procedures.作者: Ruptured-Disk 時間: 2025-3-23 16:28
Die Zusammenstellung des Korpusountermodel? It is a well known result [.] that Lemma 1. (Hosoi) If a wff A contains the propositional letters ..,...,.. then A is a theorem of J iff (?.. ? ??..) ? ? ? (?.. ? ??..) → . is a theorem of the intuitionistic logic.作者: Adornment 時間: 2025-3-23 21:58
Textanalyse — zeitungstechnische Kategorienanguage theory, finite group theory, and quantum computation theory can lead to new views. As working study-case the problem of combing finite groups will be dealt with, which bridges language theoretical issues with structural and algorithmic issues.作者: 火海 時間: 2025-3-24 01:49
Textanalyse — sprachliche Kategoriention those rules were based upon. We had to wait thirty more years before realizing in full glory that Gentzen‘s simplification mechanism and one of the formal systems for computability (Church‘s λ-calculus) were indeed one and the same notion.作者: foodstuff 時間: 2025-3-24 05:11
Schmerzmessung und -dokumentation issue under discussion for many. Similarities and differences w.r. to the logical notion of incompleteness will be highlighted. A constructivist approach to knowledge, both in mathematics and in physics, underlies our attempted “unified” understanding of these apparently unrelated theoretical issues.作者: 軍火 時間: 2025-3-24 07:09
Proofs as Efficient Programs,tion those rules were based upon. We had to wait thirty more years before realizing in full glory that Gentzen‘s simplification mechanism and one of the formal systems for computability (Church‘s λ-calculus) were indeed one and the same notion.作者: Isolate 時間: 2025-3-24 13:14 作者: PALMY 時間: 2025-3-24 15:01
Book 2008s of proof brings out a number of questions that have always been latent in the informal understanding of the subject. What makes a symbolic constr- tion signi?cant? What makes an assumption reasonable? What makes a proof reliable? G¨ odel, Church and Turing, in di?erent ways, achieve a deep und- st作者: 門閂 時間: 2025-3-24 21:15 作者: 不確定 時間: 2025-3-25 02:17
Die Zusammenstellung des Korpus.. This logic, we believe, offers a good case study for some metatheoretical properties: Is there a cut-free calculus for this logic? Is it analytic? Is there a proof-search procedure that answers the question whether a formula is a theorem or not, and if not, does it give us a strategy to build a c作者: Arboreal 時間: 2025-3-25 05:45 作者: gastritis 時間: 2025-3-25 09:10 作者: enlist 時間: 2025-3-25 13:02 作者: Soliloquy 時間: 2025-3-25 18:14
Schmerzmessung und -dokumentationsions by means of the mathematical rules of geometric optics. Carrying over concepts and methods of the medieval . into a plane surface, the Renaissance . unfurls a new “pictorial” space. To appreciate the impact of quantum theory on determinism and computation issues this paper will adopt a “perspe作者: 抱狗不敢前 時間: 2025-3-25 23:14
Schmerzmessung und -dokumentationthe foundations of mathematics. G?del’s 1931 theorem and his subsequent philosophical reflections have a major role in discussing this perspective and we will develop our views along the lines of the book (and further on). The first part will also hint to the connections with some results in Mathema作者: MONY 時間: 2025-3-26 02:34
https://doi.org/10.1007/978-3-0348-6002-4This paper is concerned with real proofs as opposed to formal proofs, and specifically with the ultimate reason of real proofs (‘Why Proof?’) and with the notion of real proof (‘What is a Proof?’).作者: alabaster 時間: 2025-3-26 05:04 作者: critique 時間: 2025-3-26 10:53
https://doi.org/10.1007/978-3-658-16768-4The presence of experimental methods in mathematics has been the . of the so called, by Imre Lakatos in [12], renaissance of empiricism in the philosophy of mathematics.作者: Pathogen 時間: 2025-3-26 16:05
https://doi.org/10.57088/978-3-7329-9110-5I shall deal here with conceptual questions concerning two related phenomena: 1) the use of deductive machinery to verify the correctness of computer programs, and 2) the running of programs on computers to produce proofs.作者: 氣候 時間: 2025-3-26 17:59 作者: Stable-Angina 時間: 2025-3-26 22:12
https://doi.org/10.1007/978-3-662-21762-7In the following discussion we are going to deal with the problem of computability of differential equations, and we will outline some of the most important results achieved in this area, mainly due to K. Weihrauch and N. Zhong. In particular, a large part of the paper will concern the debate about the computability of the wave equation.作者: 母豬 時間: 2025-3-27 03:30 作者: Concrete 時間: 2025-3-27 06:24
On Formal Proofs,We address two questions:作者: 機警 時間: 2025-3-27 11:05
Experimental Methods in Proofs,The presence of experimental methods in mathematics has been the . of the so called, by Imre Lakatos in [12], renaissance of empiricism in the philosophy of mathematics.作者: 適宜 時間: 2025-3-27 17:06
Proofs Verifying Programs and Programs Producing Proofs: A Conceptual Analysis,I shall deal here with conceptual questions concerning two related phenomena: 1) the use of deductive machinery to verify the correctness of computer programs, and 2) the running of programs on computers to produce proofs.作者: Cumbersome 時間: 2025-3-27 21:01 作者: 解開 時間: 2025-3-27 21:57
Computability and Incomputability of Differential Equations,In the following discussion we are going to deal with the problem of computability of differential equations, and we will outline some of the most important results achieved in this area, mainly due to K. Weihrauch and N. Zhong. In particular, a large part of the paper will concern the debate about the computability of the wave equation.作者: GRIPE 時間: 2025-3-28 05:39 作者: inflame 時間: 2025-3-28 10:12 作者: 得意牛 時間: 2025-3-28 13:55
http://image.papertrans.cn/d/image/264512.jpg作者: 亂砍 時間: 2025-3-28 18:36
Toy Models in Physics and the Reasonable Effectiveness of Mathematics,of the originals. Sometimes toy models get a life of their own and have the chance of emerging as paradigms. Such an upgraded role, on the one hand, makes these models likely to be considered for validation through (possibly new) experimental tests. On the other, the role played by mathematical proo作者: biopsy 時間: 2025-3-28 21:04
The Logic of the Weak Excluded Middle: A Case Study of Proof-Search,.. This logic, we believe, offers a good case study for some metatheoretical properties: Is there a cut-free calculus for this logic? Is it analytic? Is there a proof-search procedure that answers the question whether a formula is a theorem or not, and if not, does it give us a strategy to build a c作者: NOMAD 時間: 2025-3-29 00:38 作者: 引導 時間: 2025-3-29 05:12 作者: Spina-Bifida 時間: 2025-3-29 08:42
Quantum Combing,ching beyond its boundaries to touch the very roots of the universal structure of languages. The paper is mostly conjectural and touches just the few technical details necessary to pursue the general argument, because its main aim is simply to show how a complex blend of notions coming from formal l作者: BARK 時間: 2025-3-29 13:25 作者: 外觀 時間: 2025-3-29 16:59
Phenomenology of Incompleteness: From Formal Deductions to Mathematics and Physics,the foundations of mathematics. G?del’s 1931 theorem and his subsequent philosophical reflections have a major role in discussing this perspective and we will develop our views along the lines of the book (and further on). The first part will also hint to the connections with some results in Mathema作者: circumvent 時間: 2025-3-29 19:56 作者: BARK 時間: 2025-3-30 01:42 作者: Congestion 時間: 2025-3-30 06:46
many. Tower! has translated this pioneering work. The rather long, philosophical preface contains the following paragraph. Regardless of what may be thought of this matter, the brain is certainly that part of the animate body in which that subtlest and most penetrating [substance] alone is received, so often 978-1-4899-0492-8978-1-4899-0490-4作者: clarify 時間: 2025-3-30 09:46 作者: 適宜 時間: 2025-3-30 13:00 作者: 他日關稅重重 時間: 2025-3-30 17:00
