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Books > Philosophy > Topics in philosophy > Logic
The articles in this volume are all landmarks in the evolution of modern studies in Indian logic. The book traces the development of modern studies in Indian logic from their beginnings right up to the latest work.
Contents: Hamblin, C L, The Indian Tradition, Fallacies [London: Methuen, 1970] Randle, H H, A Note on the Indian Syllogism, Mind, 33 [1924] Staal, Frits, The Concept of Paksa in Indian Logic, Journal of Indian Philosophy 2 [1973] Staal, J F, Negation and the Law of Contradiction in Indian Thought, Bulletin of the School of Oriental and African Studies 25 [1962] Gillon, Brendan S and Martha Lile Love, Indian Logic Revisited: Nyayapravesa Reviewed, Journal of Indian Philosophy 8 [1980] Bhattacharyya, Sibajiban, Some Features of the Technical Language of Navya-Nyaya, Philosophy East and West 40 [1990] Shaw, J L, The Nyaya on Double Negation, Notre Dame Journal of Formal Logic 29 [1988] Bhattacharyya, Sibajiban, The Middle Term, Notre Dame Journal of Formal Logic 9 [1968] Mohanty, J N, Psychologism in Indian Logic, In B K Matilal and J L Shaw eds., Analytical Philosophy in Comparitive Perspective [Dordrecht: Reidel, 1985] David, Lawrence, Tarka in the Nyaya Theory of Inference, Journal of Indian Philosophy 9 [1981] Matilal, B K Anenkanta: Both Yes and No? Journal of the Indian Council of Philosophical Research 8 [1991] Staal, J F, Sanskrit Philosophy of Language, In Thomas A Seboek ed., Current Trends in Linguistics: Vol 5, Linguistics in South Asia [The Hague: Mouton, 1969] Brough, John, Some Indian Theories of Meaning, Transactions of the Philological Society [1953] Matilal, B K, Reference and Existence in Nyaya and Buddhist Logic, Journal of Indian Philosophy 1 [1970] Matilal, B K, and P K Sen, The Context Principle and Some Indian Controversies Over Meaning, Mind 97 [1988] Siderits, Mark, The Sense-Reference Distinction in Indian Philosophy of Language, Synthese 69 [1986] Herzberger, Hans, and Radhika Hersberger, Bhartrhari's Paradox, Journal of Indian Philosophy 9 [1981]
W.V. Quine (1908-) has played a crucial role in philosophy during
the second half of the twentieth century. These five volumes
contain the most essential of the more than 2000 articles written
about Quine's work. Chosen for their clarity and brevity, they
cover both basic ideas as well as objections to Quine's work. These
articles are a valuable resource for students and scholars; many
have been previously available only in hard-to-find sources, and in
addition, some have been written or translated expressly for this
collection. Available individually or by volume
Russell's "On Denoting" and Frege's "On Sense and Reference" are
now widely held to be two of the founding papers of 20th-century
philosophy and form the heart of the famous "linguistic turn". They
have generated a wealth of secondary literature and remain at the
forefront of contemporary discussion in philosophy of language,
thought and logic. This book challenges the accepted understanding
of these two seminal papers. It forces us to reconsider
contemporary approaches to the semantics of proper names and
definite descriptions through a historically sensitive
interpretation of Russell's and Frege's work on meaning. Gideon
Makin compares the work Russell did shortly before his famous essay
"On Denoting" with the essay itself and argues that this comparison
shows that the traditional view of the problem Russell was trying
to solve is untenable. Makin then examines Frege's classic essay
and argues that some of the less well-known views that Frege held
have radical implications for our understanding of this essay.
Russell's "On Denoting" and Frege's "On Sense and Reference" are
now widely held to be two of the founding papers of 20th-century
philosophy and form the heart of the famous "linguistic turn". They
have generated a wealth of secondary literature and remain at the
forefront of contemporary discussion in philosophy of language,
thought and logic. This book challenges the accepted understanding
of these two seminal papers. It forces us to reconsider
contemporary approaches to the semantics of proper names and
definite descriptions through a historically sensitive
interpretation of Russell's and Frege's work on meaning. Gideon
Makin compares the work Russell did shortly before his famous essay
"On Denoting" with the essay itself and argues that this comparison
shows that the traditional view of the problem Russell was trying
to solve is untenable. Makin then examines Frege's classic essay
and argues that some of the less well-known views that Frege held
have radical implications for our understanding of this essay.
This book provides a wide-ranging and in-depth reappraisal of the
relation between Marx's economic theory in Capital and Hegel's
Logic by leading Marxian economists and philosophers from around
the world. The subjects dealt with include: systematic dialectics,
the New Dialectics, materialism vs. idealism, Marx's 'inversion' of
Hegel, Hegel's Concept logic, Hegel's Essence logic, Marx's levels
of abstraction of capital in general and competition, and capital
as Hegelian Subject.
Originally published in 1991, this volume examines Hegel's
political philosophy from the perspective of his argument for
constitutional monarchy. It offers an interpretation of Hegelian
theory that is relevant for the understanding of modern republican
constitutions. Modern republican theories are assessed together
with those of Plato, Kant and Marx in order to put Hegel's model to
the most rigorous test. The arguments are based on fresh analysis
of Hegel's system and on new translations of key passages in
Hegel's text.
Originally published in 1982, this volume examines the sources of
British Hegelian thinking, the lines of its development and
intellectual relationships among members of the school. The sources
in this book include twentieth century Marxians who pioneered the
move 'back to Hegel' such as Gramsci and Lukacs. It includes brief
biographical entries of the principal British Hegelians and of
minor figures wo paved the way for Hegel's entry into British
philosophy.
First published in 2000. Routledge is an imprint of Taylor &
Francis, an informa company.
First published in 2000. Routledge is an imprint of Taylor &
Francis, an informa company.
First published in 2000. Routledge is an imprint of Taylor &
Francis, an informa company.
Are any of our beliefs justified? Are they rational? The skeptic
thinks that our epistemic justifications are undeserved. Nicholas
Nathan confronts the skeptic and questions the value of his
argument.
Skeptical arguments are against justified and rational belief as
well as for ignorance. Nathan argues that the truth value of
trivial arguments are a matter of indifference. He tests this
conjecture with a varied collection of counterexamples: arguments
for ignorance, neo-Cartesian and infinite regress arguments, and
also more critically with arguments against justified and rational
belief.
This historical study investigates Ludwig Wittgenstein's early philosophy of logic and language, as it is presented in his Tractatus Logico-Philosophicus. Drawing on Wittgenstein's correspondence, and on his numerous pre-Tractatus manuscripts, the study makes a case for the Tractatus as an insightful critique of the philosophies of Bertrand Russell and Gottlob Frege - the Founding Fathers of analytic philosophy. The book urges a re-assessment of the relative influence of these philosophers on the early Wittgenstein. It argues that the current vogue for "Fregean" readings of the Tractatus has tended to obscure the true depth and importance of Wittgenstein's involvement with Russell's philosophy. This case is built through a series of detailed studies of central logico-linguistic topics including: tautology, logical assertion, the picture theory of the proposition and the deductive inference.
Originally published in 1990. This study was first written in 1965
when interest in Leibniz was intensifying. The book looks in detail
at the doctrine of necessity - that necessary truths are those
derivable from the principle of identity by the substitution of
definitions. It first considers views of philosophic predecessors,
relating Leibniz' doctrine to Aristotle and Hobbes among others.
The second section examines the conflict between his reductionistic
and formalistic views and the opposing intuitionism and
anti-reductionism of Descartes and Locke. The author critically
examines the theory of necessity, including Leibniz's arguments
against the views of Hobbes and Locke, concluding with distinctions
between necessary and contingent truths.
This book introduces an important group of logics that have come to
be known under the umbrella term 'susbstructural'. Substructural
logics have independently led to significant developments in
philosophy, computing and linguistics. An Introduction to
Substrucural Logics is the first book to systematically survey the
new results and the significant impact that this class of logics
has had on a wide range of fields.The following topics are covered:
* Proof Theory
* Propositional Structures
* Frames
* Decidability
* Coda
Both students and professors of philosophy, computing, linguistics,
and mathematics will find this to be an important addition to their
reading.
This book introduces an important group of logics that have come to be known under the umbrella term 'susbstructural'. Substructural logics have independently led to significant developments in philosophy, computing and linguistics. An Introduction to Substrucural Logics is the first book to systematically survey the new results and the significant impact that this class of logics has had on a wide range of fields.The following topics are covered: * Proof Theory * Propositional Structures * Frames * Decidability * Coda Both students and professors of philosophy, computing, linguistics, and mathematics will find this to be an important addition to their reading.
Peter Adamson and Jonardon Ganeri present a lively introduction to
one of the world's richest intellectual traditions: the philosophy
of classical India. They begin with the earliest extant literature,
the Vedas, and the explanatory works that these inspired, known as
Upanisads. They also discuss other famous texts of classical Vedic
culture, especially the Mahabharata and its most notable section,
the Bhagavad-Gita, alongside the rise of Buddhism and Jainism. In
this opening section, Adamson and Ganeri emphasize the way that
philosophy was practiced as a form of life in search of liberation
from suffering. Next, the pair move on to the explosion of
philosophical speculation devoted to foundational texts called
'sutras,' discussing such traditions as the logical and
epistemological Nyaya school, the monism of Advaita Vedanta, and
the spiritual discipline of Yoga. In the final section of the book,
they chart further developments within Buddhism, highlighting
Nagarjuna's radical critique of 'non-dependent' concepts and the
no-self philosophy of mind found in authors like Dignaga, and
within Jainism, focusing especially on its 'standpoint'
epistemology. Unlike other introductions that cover the main
schools and positions in classical Indian philosophy, Adamson and
Ganeri's lively guide also pays attention to philosophical themes
such as non-violence, political authority, and the status of women,
while considering textual traditions typically left out of
overviews of Indian thought, like the Carvaka school, Tantra, and
aesthetic theory as well. Adamson and Ganeri conclude by focusing
on the much-debated question of whether Indian philosophy may have
influenced ancient Greek philosophy and, from there, evaluate the
impact that this area of philosophy had on later Western thought.
The Oxford Handbook of Descartes and Cartesianism comprises fifty
specially written chapters on Rene Descartes (1596-1650) and
Cartesianism, the dominant paradigm for philosophy and science in
the seventeenth century, written by an international group of
leading scholars of early modern philosophy. The first part focuses
on the various aspects of Descartes's biography (including his
background, intellectual contexts, writings, and correspondence)
and philosophy, with chapters on his epistemology, method,
metaphysics, physics, mathematics, moral philosophy, political
thought, medical thought, and aesthetics. The chapters of the
second part are devoted to the defense, development and
modification of Descartes's ideas by later generations of Cartesian
philosophers in France, the Netherlands, Italy, and elsewhere. The
third and final part considers the opposition to Cartesian
philosophy by other philosophers, as well as by civil,
ecclesiastic, and academic authorities. This handbook provides an
extensive overview of Cartesianism - its doctrines, its legacies
and its fortunes - in the period based on the latest research.
First published in 1999. Routledge is an imprint of Taylor &
Francis, an informa company.
This work is a contribution to certain aspects of idealistic
philosophy. It is a comparative study, yet it is not a comparison
for the sake of comparison. This book examines the supra-rational
Absolutism of the West developed under the Hegelian influence, and
in the light of the criticisms shows the peculiar character of the
Advaita Vedanta of Sankara. It is therefore not a mere exposition,
but a criticism and construction. The discussions are not
cosmological, but epistemological and metaphysical, approached from
the side of logic. The work may also be viewed as a reorientation
of Sankara's system. It places Sankara's philosophy in line with
the idealistic philosophies of the West, so that we can understand
the peculiarities of the former in terms of the latter. It thus
discovers or brings into clearer light the guiding principle of
Sankara's thought. It brings out the full significance of the
principles of non-contradiction applied by Sankara as a test of
truth and reality, and shows its difference from the same principle
as understood by Hegel and the Hegelians. The aim of this work is
to attempt at laying the metaphysical foundation of the logic of
supra-rational Absolutism, the interpretation of Advaita is based
mostly on polemical works.
First published in 1998, this volume has its origin in a meeting
that was held in Santiago de Compostela University, Santiago de
Compostela (Spain) in January 1996. The meeting was organized by
the Department of Logic and Philosophy of Science in cooperation
with the Association for Logic, Methodology and Philosophy of
Science in Spain. Within analytical philosophy issues such as the
definability of truth, its semantic relevance, its role in the
distinction between formal and natural languages, the status of
truth-bearers or in its case of truth-makers, have become a
crossroads in the studies of logic, philosophy of science,
philosophy of language, philosophy of mind, epistemology and
ontology. Thus, in spite of what the title Truth in Perspective may
suggest to the reader at first, the present volume is not only -
though it is also a presentation of different theories or
conceptions of truth. Most of the book presents a vision of
different groups of philosophical questions in which the issue of
truth appears embedded together with other related themes, from
different points of view.
First published in the most ambitious international philosophy project for a generation; the Routledge Encyclopedia of Philosophy. Logic from A to Z is a unique glossary of terms used in formal logic and the philosophy of mathematics. Over 500 entries include key terms found in the study of: * Logic: Argument, Turing Machine, Variable * Set and model theory: Isomorphism, Function * Computability theory: Algorithm, Turing Machine * Plus a table of logical symbols. Extensively cross-referenced to help comprehension and add detail, Logic from A to Z provides an indispensable reference source for students of all branches of logic.
Plato's formulation of the Principle of Non-contradiction (PNC) in
Republic IV is the first full statement of the principle in western
philosophy. His use of the principle might seem to suggest that he
endorses the PNC. After all, how could one possibly deny so
fundamental a principle-especially when it seems difficult to deny
it without relying on it. However, the endorsement in the text is
qualified. Socrates refers to the principle as one that he and his
interlocutors will hypothesize and warns that if it should ever be
shown to be false, all that follows from it will also be refuted.
Scholars who have noticed this issue have tended to assume that the
truth of the hypothesis in question can be guaranteed. Laurence
Bloom argues against unthinkingly accepting this claim. He suggests
that what emerges from the text is more sophisticated: Plato's
concession that the PNC is hypothetical is a textual clue pointing
us to a complex philosophical argument that grounds the PNC, as
well as the sort of reasoning it grounds, in form. Indeed, in
framing the problem in this way, we can read the Republic as
providing an extended argument for form. The argument for forms
that emerges is complex and difficult. It is not and cannot be a
normal, discursive argument. Indeed, the argument cannot even be
one that assumes the PNC; if it did so, it would fall prey to a
vicious circularity. Rather, the argument rests on the very
possibility of our hypothesizing the PNC in the first place. Our
ability to hypothesize the PNC-and perhaps our inability not to
hypothesize it-is the linchpin. When we ask questions such as "to
what objects does the PNC apply?" or "how is it possible that we
apply the PNC?," we are asking questions that lead us to the
existence of form. The Principle of Non-contradiction in Plato's
Republic also explores the soul of the knower-the very entity to
which and by which the principle is applied in the text-and its
underlying unity.
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