Akribeia: Certainty and Ontology of Mathematics in Alessandro Piccolomini's De certitudine mathematicarum
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Akribeia: Certainty and Ontology of Mathematics in Alessandro Piccolomini's De certitudine mathematicarum
Campillo Bo, Alvaro Jose
Brill
03/2025
356
Dura
9789004724136
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Acknowledgements
List of Figures and Tables
1 Introduction
?1.1?Mathematical Akribology: a Perennial Question
?1.2?Piccolomini's Intellectual Background to De certitudine
?1.3?De certitudine Mathematicarum: Themes and Hermeneutical Keys
?1.4?State of the Art
?1.5?Reassessing Piccolomini's Text
?1.6?The Map of This Book
2 Piccolomini's Sources and Context
?2.1?Proclus in the Latin Context and Neoplatonic Themes in De certitudine
?2.2?Phantasia: Ontology and Epistemology
?2.3?Certitudo mathematica: a Historical Inquiry
?2.4?Anti-mathematical Attitudes in the 16th-Century Italian Context
?2.5?Pseudo-Aristotle's Quaestiones mechanicae
?2.6?Demonstratio potissima
3 De Certitudine Mathematicarum
?3.1?Piccolomini's demonstratio potissima: a Truncated regressus
?3.2?Mathematical Analysis and demonstratio potissima
?3.3?Euclid's I.32: Formal Flaws of Mathematical Demonstration
?3.4?Quasi ?????????: Piccolomini's Denial of Mathematical Causality
?3.5?Piccolomini's Philosophy of Mathematics
?3.6?Mathematising the Unmathematical: Back to the Mertonian Challenge
?3.7?Common Mathematics and De certitudine's Consistency: a Hypothesis
Conclusions
Appendix
Bibliography
?Manuscripts
?Primary Sources
?Secondary Sources
Index of Manuscripts
Index of Ancient Authors
Index of Modern Authors
List of Figures and Tables
1 Introduction
?1.1?Mathematical Akribology: a Perennial Question
?1.2?Piccolomini's Intellectual Background to De certitudine
?1.3?De certitudine Mathematicarum: Themes and Hermeneutical Keys
?1.4?State of the Art
?1.5?Reassessing Piccolomini's Text
?1.6?The Map of This Book
2 Piccolomini's Sources and Context
?2.1?Proclus in the Latin Context and Neoplatonic Themes in De certitudine
?2.2?Phantasia: Ontology and Epistemology
?2.3?Certitudo mathematica: a Historical Inquiry
?2.4?Anti-mathematical Attitudes in the 16th-Century Italian Context
?2.5?Pseudo-Aristotle's Quaestiones mechanicae
?2.6?Demonstratio potissima
3 De Certitudine Mathematicarum
?3.1?Piccolomini's demonstratio potissima: a Truncated regressus
?3.2?Mathematical Analysis and demonstratio potissima
?3.3?Euclid's I.32: Formal Flaws of Mathematical Demonstration
?3.4?Quasi ?????????: Piccolomini's Denial of Mathematical Causality
?3.5?Piccolomini's Philosophy of Mathematics
?3.6?Mathematising the Unmathematical: Back to the Mertonian Challenge
?3.7?Common Mathematics and De certitudine's Consistency: a Hypothesis
Conclusions
Appendix
Bibliography
?Manuscripts
?Primary Sources
?Secondary Sources
Index of Manuscripts
Index of Ancient Authors
Index of Modern Authors
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Acknowledgements
List of Figures and Tables
1 Introduction
?1.1?Mathematical Akribology: a Perennial Question
?1.2?Piccolomini's Intellectual Background to De certitudine
?1.3?De certitudine Mathematicarum: Themes and Hermeneutical Keys
?1.4?State of the Art
?1.5?Reassessing Piccolomini's Text
?1.6?The Map of This Book
2 Piccolomini's Sources and Context
?2.1?Proclus in the Latin Context and Neoplatonic Themes in De certitudine
?2.2?Phantasia: Ontology and Epistemology
?2.3?Certitudo mathematica: a Historical Inquiry
?2.4?Anti-mathematical Attitudes in the 16th-Century Italian Context
?2.5?Pseudo-Aristotle's Quaestiones mechanicae
?2.6?Demonstratio potissima
3 De Certitudine Mathematicarum
?3.1?Piccolomini's demonstratio potissima: a Truncated regressus
?3.2?Mathematical Analysis and demonstratio potissima
?3.3?Euclid's I.32: Formal Flaws of Mathematical Demonstration
?3.4?Quasi ?????????: Piccolomini's Denial of Mathematical Causality
?3.5?Piccolomini's Philosophy of Mathematics
?3.6?Mathematising the Unmathematical: Back to the Mertonian Challenge
?3.7?Common Mathematics and De certitudine's Consistency: a Hypothesis
Conclusions
Appendix
Bibliography
?Manuscripts
?Primary Sources
?Secondary Sources
Index of Manuscripts
Index of Ancient Authors
Index of Modern Authors
List of Figures and Tables
1 Introduction
?1.1?Mathematical Akribology: a Perennial Question
?1.2?Piccolomini's Intellectual Background to De certitudine
?1.3?De certitudine Mathematicarum: Themes and Hermeneutical Keys
?1.4?State of the Art
?1.5?Reassessing Piccolomini's Text
?1.6?The Map of This Book
2 Piccolomini's Sources and Context
?2.1?Proclus in the Latin Context and Neoplatonic Themes in De certitudine
?2.2?Phantasia: Ontology and Epistemology
?2.3?Certitudo mathematica: a Historical Inquiry
?2.4?Anti-mathematical Attitudes in the 16th-Century Italian Context
?2.5?Pseudo-Aristotle's Quaestiones mechanicae
?2.6?Demonstratio potissima
3 De Certitudine Mathematicarum
?3.1?Piccolomini's demonstratio potissima: a Truncated regressus
?3.2?Mathematical Analysis and demonstratio potissima
?3.3?Euclid's I.32: Formal Flaws of Mathematical Demonstration
?3.4?Quasi ?????????: Piccolomini's Denial of Mathematical Causality
?3.5?Piccolomini's Philosophy of Mathematics
?3.6?Mathematising the Unmathematical: Back to the Mertonian Challenge
?3.7?Common Mathematics and De certitudine's Consistency: a Hypothesis
Conclusions
Appendix
Bibliography
?Manuscripts
?Primary Sources
?Secondary Sources
Index of Manuscripts
Index of Ancient Authors
Index of Modern Authors
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
