Mathesis Universalis Computability Proof (28 results)
Mathesis Universalis, Computability and Proof
Centrone, Stefania (EDT); Negri, Sara (EDT); Sarikaya, Deniz (EDT); Schuster, Peter M. (EDT)
Language: English
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Mathesis Universalis, Computability and Proof
Centrone, Stefania (EDT); Negri, Sara (EDT); Sarikaya, Deniz (EDT); Schuster, Peter M. (EDT)
Language: English
Published by Springer, 2020
Series: Synthese Library, Book 247 of 304. Book 247 of 304 - Synthese Library
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Mathesis Universalis, Computability and Proof
Centrone, Stefania (EDT); Negri, Sara (EDT); Sarikaya, Deniz (EDT); Schuster, Peter M. (EDT)
Language: English
Published by Springer, 2020
Series: Synthese Library, Book 247 of 304. Book 247 of 304 - Synthese Library
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Mathesis Universalis, Computability and Proof
Centrone, Stefania (EDT); Negri, Sara (EDT); Sarikaya, Deniz (EDT); Schuster, Peter M. (EDT)
Language: English
Published by Springer, 2020
Series: Synthese Library, Book 247 of 304. Book 247 of 304 - Synthese Library
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - In a fragment entitledElementa Nova Matheseos Universalis(1683 ) Leibniz writes 'themathesis[.]shall deliver the method through which things that are conceivable can be exactly determined'; in another fragment he takes themathesisto be 'the science of all… things that are conceivable.' Leibniz considers all mathematical disciplines as branches of themathesisand conceives themathesisas a general science of forms applicable not only to magnitudes but to every object that exists in our imagination, i.e. that is possible at least in principle. As a general science of forms themathesisinvestigates possible relations between 'arbitrary objects' ('objets quelconques'). It is an abstract theory of combinations and relations among objects whatsoever.In 1810 the mathematician and philosopher Bernard Bolzano published a booklet entitledContributions to a Better-Grounded Presentation of Mathematics.There is, according to him, acertain objective connectionamong the truths that are germane to a certain homogeneous field of objects: some truths are the 'reasons' ('Gründe') of others, and the latter are 'consequences' ('Folgen') of the former. The reason-consequence relation seems to be the counterpart of causality at the level of a relation between true propositions. Arigorous proofis characterized in this context as a proof that shows the reason of the proposition that is to be proven. Requirements imposed on rigorous proofs seem to anticipate normalization results in current proof theory.The contributors ofMathesis Universalis, Computability and Proof,leading experts in the fields of computer science, mathematics, logic and philosophy, show the evolution of these and related ideas exploring topics in proof theory, computability theory, intuitionisticlogic, constructivism and reverse mathematics, delving deeply into a contextual examination of the relationship between mathematical rigor and demands for simplification.
Language: English
Published by Springer, 2019
Series: Synthese Library, Book 247 of 304. Book 247 of 304 - Synthese Library
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Condition: Hervorragend. Zustand: Hervorragend | Seiten: 384 | Sprache: Englisch | Produktart: Bücher | In a fragment entitled Elementa Nova Matheseos Universalis (1683?) Leibniz writes ¿the mathesis [¿] shall deliver the method through which things that are conceivable can be exactly determined¿; in another fragment he takes th…e mathesis to be ¿the science of all things that are conceivable.¿ Leibniz considers all mathematical disciplines as branches of the mathesis and conceives the mathesis as a general science of forms applicable not only to magnitudes but to every object that exists in our imagination, i.e. that is possible at least in principle. As a general science of forms the mathesis investigates possible relations between ¿arbitrary objects¿ (¿objets quelconques¿). It is an abstract theory of combinations and relations among objects whatsoever.In 1810 the mathematician and philosopher Bernard Bolzano published a booklet entitled Contributions to a Better-Grounded Presentation of Mathematics. There is, according to him, a certain objective connection among the truths that are germane to a certain homogeneous field of objects: some truths are the ¿reasons¿ (¿Gründe¿) of others, and the latter are ¿consequences¿ (¿Folgen¿) of the former. The reason-consequence relation seems to be the counterpart of causality at the level of a relation between true propositions. Arigorous proof is characterized in this context as a proof that shows the reason of the proposition that is to be proven. Requirements imposed on rigorous proofs seem to anticipate normalization results in current proof theory.The contributors of Mathesis Universalis, Computability and Proof, leading experts in the fields of computer science, mathematics, logic and philosophy, show the evolution of these and related ideas exploring topics in proof theory, computability theory, intuitionisticlogic, constructivism and reverse mathematics, delving deeply into a contextual examination of the relationship between mathematical rigor and demands for simplification.
Language: English
Published by Springer, 2020
Series: Synthese Library, Book 247 of 304. Book 247 of 304 - Synthese Library
- Softcover
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Condition: New. 1st ed. 2019 edition NO-PA16APR2015-KAP.
Language: English
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Taschenbuch. Condition: Neu. Mathesis Universalis, Computability and Proof | Stefania Centrone (u. a.) | Taschenbuch | x | Englisch | 2020 | Springer | EAN 9783030204495 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - In a fragment entitledElementa Nova Matheseos Universalis(1683 ) Leibniz writes 'themathesis[.]shall deliver the method through which things that are conceivable can be exactly determined'; in another fragment he takes themathesisto be 'the science… of all things that are conceivable.' Leibniz considers all mathematical disciplines as branches of themathesisand conceives themathesisas a general science of forms applicable not only to magnitudes but to every object that exists in our imagination, i.e. that is possible at least in principle. As a general science of forms themathesisinvestigates possible relations between 'arbitrary objects' ('objets quelconques'). It is an abstract theory of combinations and relations among objects whatsoever.In 1810 the mathematician and philosopher Bernard Bolzano published a booklet entitledContributions to a Better-Grounded Presentation of Mathematics.There is, according to him, acertain objective connectionamong the truths that are germane to a certain homogeneous field of objects: some truths are the 'reasons' ('Gründe') of others, and the latter are 'consequences' ('Folgen') of the former. The reason-consequence relation seems to be the counterpart of causality at the level of a relation between true propositions. Arigorous proofis characterized in this context as a proof that shows the reason of the proposition that is to be proven. Requirements imposed on rigorous proofs seem to anticipate normalization results in current proof theory.The contributors ofMathesis Universalis, Computability and Proof,leading experts in the fields of computer science, mathematics, logic and philosophy, show the evolution of these and related ideas exploring topics in proof theory, computability theory, intuitionisticlogic, constructivism and reverse mathematics, delving deeply into a contextual examination of the relationship between mathematical rigor and demands for simplification.
Language: English
Published by Springer Nature, 2020
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Paperback. Condition: Brand New. 384 pages. 9.25x6.10x0.87 inches. In Stock.
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In a fragment entitledElementa Nova Matheseos Universalis(1683 ) Leibniz writes 'themathesis[.]shall deliver the method through which things that are conceivable can be exactly determined'; in another fragment he takes themathesisto be 'th…e science of all things that are conceivable.' Leibniz considers all mathematical disciplines as branches of themathesisand conceives themathesisas a general science of forms applicable not only to magnitudes but to every object that exists in our imagination, i.e. that is possible at least in principle. As a general science of forms themathesisinvestigates possible relations between 'arbitrary objects' ('objets quelconques'). It is an abstract theory of combinations and relations among objects whatsoever.In 1810 the mathematician and philosopher Bernard Bolzano published a booklet entitledContributions to a Better-Grounded Presentation of Mathematics.There is, according to him, acertain objective connectionamong the truths that are germane to a certain homogeneous field of objects: some truths are the 'reasons' ('Gründe') of others, and the latter are 'consequences' ('Folgen') of the former. The reason-consequence relation seems to be the counterpart of causality at the level of a relation between true propositions. Arigorous proofis characterized in this context as a proof that shows the reason of the proposition that is to be proven. Requirements imposed on rigorous proofs seem to anticipate normalization results in current proof theory.The contributors ofMathesis Universalis, Computability and Proof,leading experts in the fields of computer science, mathematics, logic and philosophy, show the evolution of these and related ideas exploring topics in proof theory, computability theory, intuitionistic logic, constructivism and reverse mathematics, delving deeply into a contextual examination of the relationship between mathematical rigor and demands for simplification. 384 pp. Englisch.
Language: English
Published by Springer International Publishing Nov 2020, 2020
Series: Synthese Library, Book 247 of 304. Book 247 of 304 - Synthese Library
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In a fragment entitledElementa Nova Matheseos Universalis(1683 ) Leibniz writes 'themathesis[.]shall deliver the method through which things that are conceivable can be exactly determined'; in another fragment he takes themathesisto… be 'the science of all things that are conceivable.' Leibniz considers all mathematical disciplines as branches of themathesisand conceives themathesisas a general science of forms applicable not only to magnitudes but to every object that exists in our imagination, i.e. that is possible at least in principle. As a general science of forms themathesisinvestigates possible relations between 'arbitrary objects' ('objets quelconques'). It is an abstract theory of combinations and relations among objects whatsoever.In 1810 the mathematician and philosopher Bernard Bolzano published a booklet entitledContributions to a Better-Grounded Presentation of Mathematics.There is, according to him, acertain objective connectionamong the truths that are germane to a certain homogeneous field of objects: some truths are the 'reasons' ('Gründe') of others, and the latter are 'consequences' ('Folgen') of the former. The reason-consequence relation seems to be the counterpart of causality at the level of a relation between true propositions. Arigorous proofis characterized in this context as a proof that shows the reason of the proposition that is to be proven. Requirements imposed on rigorous proofs seem to anticipate normalization results in current proof theory.The contributors ofMathesis Universalis, Computability and Proof,leading experts in the fields of computer science, mathematics, logic and philosophy, show the evolution of these and related ideas exploring topics in proof theory, computability theory, intuitionistic logic, constructivism and reverse mathematics, delving deeply into a contextual examination of the relationship between mathematical rigor and demands for simplification. 384 pp. Englisch.
Mathesis Universalis, Computability and Proof
Centrone, Stefania|Negri, Sara|Sarikaya, Deniz|Schuster, Peter M.
Language: English
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Gottfried Leibniz s philosophy of logic in the Digital Age   Views on second-order thinking in the history of mathematics A contemporary perspective on the foundations of mathemati.
Mathesis Universalis, Computability and Proof
Centrone, Stefania|Negri, Sara|Sarikaya, Deniz|Schuster, Peter M.
Language: English
Published by Springer International Publishing, 2019
Series: Synthese Library, Book 247 of 304. Book 247 of 304 - Synthese Library
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Gottfried Leibniz s philosophy of logic in the Digital Age   Views on second-order thinking in the history of mathematics A contemporary perspective on the foundations of mathemati.
Language: English
Published by Springer, 2020
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Buch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -In a fragment entitled Elementa Nova Matheseos Universalis (1683 ) Leibniz writes ¿the mathesis [¿] shall deliver the method through which things that are conceivable can be exactly determined¿; in another fragment he takes the mathesis to be…¿the science of all things that are conceivable.¿ Leibniz considers all mathematical disciplines as branches of the mathesis and conceives the mathesis as a general science of forms applicable not only to magnitudes but to every object that exists in our imagination, i.e. that is possible at least in principle. As a general science of forms the mathesis investigates possible relations between ¿arbitrary objects¿ (¿objets quelconques¿). It is an abstract theory of combinations and relations among objects whatsoever.In 1810 the mathematician and philosopher Bernard Bolzano published a booklet entitled Contributions to a Better-Grounded Presentation of Mathematics. There is, according to him, a certain objective connection among the truths that are germane to a certain homogeneous field of objects: some truths are the ¿reasons¿ (¿Gründe¿) of others, and the latter are ¿consequences¿ (¿Folgen¿) of the former. The reason-consequence relation seems to be the counterpart of causality at the level of a relation between true propositions. Arigorous proof is characterized in this context as a proof that shows the reason of the proposition that is to be proven. Requirements imposed on rigorous proofs seem to anticipate normalization results in current proof theory.The contributors of Mathesis Universalis, Computability and Proof, leading experts in the fields of computer science, mathematics, logic and philosophy, show the evolution of these and related ideas exploring topics in proof theory, computability theory, intuitionisticlogic, constructivism and reverse mathematics, delving deeply into a contextual examination of the relationship between mathematical rigor and demands for simplification.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 384 pp. Englisch.
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -In a fragment entitled Elementa Nova Matheseos Universalis (1683 ) Leibniz writes ¿the mathesis [¿] shall deliver the method through which things that are conceivable can be exactly determined¿; in another fragment he takes the mathesis… to be ¿the science of all things that are conceivable.¿ Leibniz considers all mathematical disciplines as branches of the mathesis and conceives the mathesis as a general science of forms applicable not only to magnitudes but to every object that exists in our imagination, i.e. that is possible at least in principle. As a general science of forms the mathesis investigates possible relations between ¿arbitrary objects¿ (¿objets quelconques¿). It is an abstract theory of combinations and relations among objects whatsoever.In 1810 the mathematician and philosopher Bernard Bolzano published a booklet entitled Contributions to a Better-Grounded Presentation of Mathematics. There is, according to him, a certain objective connection among the truths that are germane to a certain homogeneous field of objects: some truths are the ¿reasons¿ (¿Gründe¿) of others, and the latter are ¿consequences¿ (¿Folgen¿) of the former. The reason-consequence relation seems to be the counterpart of causality at the level of a relation between true propositions. Arigorous proof is characterized in this context as a proof that shows the reason of the proposition that is to be proven. Requirements imposed on rigorous proofs seem to anticipate normalization results in current proof theory.The contributors of Mathesis Universalis, Computability and Proof, leading experts in the fields of computer science, mathematics, logic and philosophy, show the evolution of these and related ideas exploring topics in proof theory, computability theory, intuitionisticlogic, constructivism and reverse mathematics, delving deeply into a contextual examination of the relationship between mathematical rigor and demands for simplification.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 384 pp. Englisch.
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