Author: J. van Rijen
Publisher: Springer Science & Business Media
ISBN: 9400926510
Category : Philosophy
Languages : en
Pages : 248
Book Description
Aspects of Aristotle’s Logic of Modalities
Author: J. van Rijen
Publisher: Springer Science & Business Media
ISBN: 9400926510
Category : Philosophy
Languages : en
Pages : 248
Book Description
Publisher: Springer Science & Business Media
ISBN: 9400926510
Category : Philosophy
Languages : en
Pages : 248
Book Description
Logical Modalities from Aristotle to Carnap
Author: Max Cresswell
Publisher: Cambridge University Press
ISBN: 1316760456
Category : Mathematics
Languages : en
Pages : 365
Book Description
Interest in the metaphysics and logic of possible worlds goes back at least as far as Aristotle, but few books address the history of these important concepts. This volume offers new essays on the theories about the logical modalities (necessity and possibility) held by leading philosophers from Aristotle in ancient Greece to Rudolf Carnap in the twentieth century. The story begins with an illuminating discussion of Aristotle's views on the connection between logic and metaphysics, continues through the Stoic and mediaeval (including Arabic) traditions, and then moves to the early modern period with particular attention to Locke and Leibniz. The views of Kant, Peirce, C. I. Lewis and Carnap complete the volume. Many of the essays illuminate the connection between the historical figures studied, and recent or current work in the philosophy of modality. The result is a rich and wide-ranging picture of the history of the logical modalities.
Publisher: Cambridge University Press
ISBN: 1316760456
Category : Mathematics
Languages : en
Pages : 365
Book Description
Interest in the metaphysics and logic of possible worlds goes back at least as far as Aristotle, but few books address the history of these important concepts. This volume offers new essays on the theories about the logical modalities (necessity and possibility) held by leading philosophers from Aristotle in ancient Greece to Rudolf Carnap in the twentieth century. The story begins with an illuminating discussion of Aristotle's views on the connection between logic and metaphysics, continues through the Stoic and mediaeval (including Arabic) traditions, and then moves to the early modern period with particular attention to Locke and Leibniz. The views of Kant, Peirce, C. I. Lewis and Carnap complete the volume. Many of the essays illuminate the connection between the historical figures studied, and recent or current work in the philosophy of modality. The result is a rich and wide-ranging picture of the history of the logical modalities.
Aspects of Aristotle's Logic
Author: Richard Bosley
Publisher:
ISBN:
Category : Philosophy
Languages : en
Pages : 164
Book Description
Publisher:
ISBN:
Category : Philosophy
Languages : en
Pages : 164
Book Description
Aristotle’s Modal Syllogistic
Author: Marko Malink
Publisher: Harvard University Press
ISBN: 0674727541
Category : Philosophy
Languages : en
Pages : 250
Book Description
Aristotle was the founder not only of logic but also of modal logic. In the Prior Analytics he developed a complex system of modal syllogistic which, while influential, has been disputed since antiquity—and is today widely regarded as incoherent. In this meticulously argued new study, Marko Malink presents a major reinterpretation of Aristotle’s modal syllogistic. Combining analytic rigor with keen sensitivity to historical context, he makes clear that the modal syllogistic forms a consistent, integrated system of logic, one that is closely related to other areas of Aristotle’s philosophy. Aristotle’s modal syllogistic differs significantly from modern modal logic. Malink considers the key to understanding the Aristotelian version to be the notion of predication discussed in the Topics—specifically, its theory of predicables (definition, genus, differentia, proprium, and accident) and the ten categories (substance, quantity, quality, and so on). The predicables introduce a distinction between essential and nonessential predication. In contrast, the categories distinguish between substantial and nonsubstantial predication. Malink builds on these insights in developing a semantics for Aristotle’s modal propositions, one that verifies the ancient philosopher’s claims of the validity and invalidity of modal inferences. Malink recognizes some limitations of this reconstruction, acknowledging that his proof of syllogistic consistency depends on introducing certain complexities that Aristotle could not have predicted. Nonetheless, Aristotle’s Modal Syllogistic brims with bold ideas, richly supported by close readings of the Greek texts, and offers a fresh perspective on the origins of modal logic.
Publisher: Harvard University Press
ISBN: 0674727541
Category : Philosophy
Languages : en
Pages : 250
Book Description
Aristotle was the founder not only of logic but also of modal logic. In the Prior Analytics he developed a complex system of modal syllogistic which, while influential, has been disputed since antiquity—and is today widely regarded as incoherent. In this meticulously argued new study, Marko Malink presents a major reinterpretation of Aristotle’s modal syllogistic. Combining analytic rigor with keen sensitivity to historical context, he makes clear that the modal syllogistic forms a consistent, integrated system of logic, one that is closely related to other areas of Aristotle’s philosophy. Aristotle’s modal syllogistic differs significantly from modern modal logic. Malink considers the key to understanding the Aristotelian version to be the notion of predication discussed in the Topics—specifically, its theory of predicables (definition, genus, differentia, proprium, and accident) and the ten categories (substance, quantity, quality, and so on). The predicables introduce a distinction between essential and nonessential predication. In contrast, the categories distinguish between substantial and nonsubstantial predication. Malink builds on these insights in developing a semantics for Aristotle’s modal propositions, one that verifies the ancient philosopher’s claims of the validity and invalidity of modal inferences. Malink recognizes some limitations of this reconstruction, acknowledging that his proof of syllogistic consistency depends on introducing certain complexities that Aristotle could not have predicted. Nonetheless, Aristotle’s Modal Syllogistic brims with bold ideas, richly supported by close readings of the Greek texts, and offers a fresh perspective on the origins of modal logic.
Aristotle's Modal Logic
Author: Richard Patterson
Publisher: Cambridge University Press
ISBN: 9780521522335
Category : Philosophy
Languages : en
Pages : 308
Book Description
This 1995 book argues that a proper understanding of Aristotle's modal logic requires an appreciation of its connection to the metaphysics.
Publisher: Cambridge University Press
ISBN: 9780521522335
Category : Philosophy
Languages : en
Pages : 308
Book Description
This 1995 book argues that a proper understanding of Aristotle's modal logic requires an appreciation of its connection to the metaphysics.
Aspects of Aristotle's logic
Author: Richard Bosley
Publisher:
ISBN:
Category :
Languages : nl
Pages : 137
Book Description
Publisher:
ISBN:
Category :
Languages : nl
Pages : 137
Book Description
Aristotle's Modal Proofs
Author: Adriane Rini
Publisher: Springer Science & Business Media
ISBN: 9400700504
Category : Philosophy
Languages : en
Pages : 246
Book Description
Aristotle’s modal syllogistic is his study of patterns of reasoning about necessity and possibility. Many scholars think the modal syllogistic is incoherent, a ‘realm of darkness’. Others think it is coherent, but devise complicated formal modellings to mimic Aristotle’s results. This volume provides a simple interpretation of Aristotle’s modal syllogistic using standard predicate logic. Rini distinguishes between red terms, such as ‘horse’, ‘plant’ or ‘man’, which name things in virtue of features those things must have, and green terms, such as ‘moving’, which name things in virtue of their non-necessary features. By applying this distinction to the Prior Analytics, Rini shows how traditional interpretive puzzles about the modal syllogistic melt away and the simple structure of Aristotle’s own proofs is revealed. The result is an applied logic which provides needed links between Aristotle’s views of science and logical demonstration. The volume is particularly valuable to researchers and students of the history of logic, Aristotle’s theory of modality, and the philosophy of logic in general.
Publisher: Springer Science & Business Media
ISBN: 9400700504
Category : Philosophy
Languages : en
Pages : 246
Book Description
Aristotle’s modal syllogistic is his study of patterns of reasoning about necessity and possibility. Many scholars think the modal syllogistic is incoherent, a ‘realm of darkness’. Others think it is coherent, but devise complicated formal modellings to mimic Aristotle’s results. This volume provides a simple interpretation of Aristotle’s modal syllogistic using standard predicate logic. Rini distinguishes between red terms, such as ‘horse’, ‘plant’ or ‘man’, which name things in virtue of features those things must have, and green terms, such as ‘moving’, which name things in virtue of their non-necessary features. By applying this distinction to the Prior Analytics, Rini shows how traditional interpretive puzzles about the modal syllogistic melt away and the simple structure of Aristotle’s own proofs is revealed. The result is an applied logic which provides needed links between Aristotle’s views of science and logical demonstration. The volume is particularly valuable to researchers and students of the history of logic, Aristotle’s theory of modality, and the philosophy of logic in general.
Logical Modalities from Aristotle to Carnap
Author: Adriane Rini
Publisher: Cambridge University Press
ISBN: 1107077885
Category : Mathematics
Languages : en
Pages : 365
Book Description
Introduces readers to the history of necessity and possibility, two modal concepts which play a key role in philosophy.
Publisher: Cambridge University Press
ISBN: 1107077885
Category : Mathematics
Languages : en
Pages : 365
Book Description
Introduces readers to the history of necessity and possibility, two modal concepts which play a key role in philosophy.
Analysis of Aristotle's Logic, with Remarks
Author: Thomas Reid
Publisher:
ISBN:
Category : Logic
Languages : en
Pages : 168
Book Description
Publisher:
ISBN:
Category : Logic
Languages : en
Pages : 168
Book Description
The Structure of Aristotelian Logic
Author: James Wilkinson Miller
Publisher: Routledge
ISBN: 1317375432
Category : Philosophy
Languages : en
Pages : 100
Book Description
Originally published in 1938. This compact treatise is a complete treatment of Aristotle’s logic as containing negative terms. It begins with defining Aristotelian logic as a subject-predicate logic confining itself to the four forms of categorical proposition known as the A, E, I and O forms. It assigns conventional meanings to these categorical forms such that subalternation holds. It continues to discuss the development of the logic since the time of its founder and address traditional logic as it existed in the twentieth century. The primary consideration of the book is the inclusion of negative terms - obversion, contraposition etc. – within traditional logic by addressing three questions, of systematization, the rules, and the interpretation.
Publisher: Routledge
ISBN: 1317375432
Category : Philosophy
Languages : en
Pages : 100
Book Description
Originally published in 1938. This compact treatise is a complete treatment of Aristotle’s logic as containing negative terms. It begins with defining Aristotelian logic as a subject-predicate logic confining itself to the four forms of categorical proposition known as the A, E, I and O forms. It assigns conventional meanings to these categorical forms such that subalternation holds. It continues to discuss the development of the logic since the time of its founder and address traditional logic as it existed in the twentieth century. The primary consideration of the book is the inclusion of negative terms - obversion, contraposition etc. – within traditional logic by addressing three questions, of systematization, the rules, and the interpretation.