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Books > Humanities > Philosophy > Topics in philosophy > Logic
Aristotle's Topics is a handbook for dialectic, i.e. the exercise
for philosophical debates between a questioner and a respondent.
Alexander takes the Topics as a sort of handbook teaching how to
defend and how attack any philosophical claim against philosophical
adversaries. In book 3, Aristotle develops strategies for arguing
about comparative claims, in which properties are said to belong to
subjects to a greater, lesser, or equal degree. Aristotle
illustrates the different argumentative patterns that can be used
to establish or refute a comparative claim through one single
example: whether something is more or less or equally to be chosen
or to be avoided than something else. In his commentary on Topics
3, here translated for the first time into English, Alexander of
Aphrodisias spells out Aristotle's text by referring to issues and
examples from debates with other philosophical school (especially:
the Stoics) of his time. The commentary provides new evidence for
Alexander's views on the logic of comparison and is a relatively
neglected source for Peripatetic ethics in late antiquity. This
volume will be valuable reading for students of Aristotle and of
the developments of Peripatetic logic and ethics in late antiquity.
Ibn Wasil (d. 1298), perhaps better known today as a historian and
an emissary to the court of King Manfred in southern Italy, was
also an eminent logician. The present work is a critical edition of
his main work in the field, a commentary on his teacher Khunaji's
(d. 1248) handbook al-Jumal. The work helped consolidate the logic
of the "later scholars" (such as Khunaji). It also shows that
commentators did much more than merely explain the original work
and instead regularly discussed and assessed received views. Ibn
Wasil's work was an influential contribution to a particularly
dynamic chapter in the history of Arabic logic.
In Enthymemes and Topoi in Dialogue, Ellen Breitholtz presents a
novel and precise account of reasoning from an interactional
perspective. The account draws on the concepts of enthymemes and
topoi, originating in Aristotelian rhetoric and dialectic, and
integrates these in a formal dialogue semantic account using TTR, a
type theory with records. Argumentation analysis and formal
approaches to reasoning often focus the logical validity of
arguments on inferences made in discourse from a god's-eye
perspective. In contrast, Breitholtz's account emphasises the
individual perspectives of interlocutors and the function and
acceptability of their reasoning in context. This provides an
analysis of interactions where interlocutors have access to
different topoi and therefore make different inferences.
In 1906, Jan Lukasiewicz, a great logician, published his classic
dissertation on the concept of cause, containing not only a
thorough reconstruction of the title concept, but also a
systematization of the analytical method. It sparked an extremely
inspiring discussion among the other representatives of the
Lvov-Warsaw School. The main voices of this discussion are
supplemented here with texts of contemporary Polish philosophers.
They show how the concept of cause is presently functioning in
various disciplines and point to the topicality of Lukasiewicz's
method of analysis.
Assuming no previous study in logic, this informal yet rigorous
text covers the material of a standard undergraduate first course
in mathematical logic, using natural deduction and leading up to
the completeness theorem for first-order logic. At each stage of
the text, the reader is given an intuition based on standard
mathematical practice, which is subsequently developed with clean
formal mathematics. Alongside the practical examples, readers learn
what can and can't be calculated; for example the correctness of a
derivation proving a given sequent can be tested mechanically, but
there is no general mechanical test for the existence of a
derivation proving the given sequent. The undecidability results
are proved rigorously in an optional final chapter, assuming
Matiyasevich's theorem characterising the computably enumerable
relations. Rigorous proofs of the adequacy and completeness proofs
of the relevant logics are provided, with careful attention to the
languages involved. Optional sections discuss the classification of
mathematical structures by first-order theories; the required
theory of cardinality is developed from scratch. Throughout the
book there are notes on historical aspects of the material, and
connections with linguistics and computer science, and the
discussion of syntax and semantics is influenced by modern
linguistic approaches. Two basic themes in recent cognitive science
studies of actual human reasoning are also introduced. Including
extensive exercises and selected solutions, this text is ideal for
students in Logic, Mathematics, Philosophy, and Computer Science.
In an age of internet scrolling and skimming, where concentration
and attention are fast becoming endangered skills, it is timely to
think about the act of reading and the many forms that it can take.
Slow Philosophy: Reading Against the Institution makes the case for
thinking about reading in philosophical terms. Boulous Walker
argues that philosophy involves the patient work of thought; in
this it resembles the work of art, which invites and implores us to
take our time and to engage with the world. At its best, philosophy
teaches us to read slowly; in fact, philosophy is the art of
reading slowly - and this inevitably clashes with many of our
current institutional practices and demands. Slow reading shares
something in common with contemporary social movements, such as
that devoted to slow food; it offers us ways to engage the
complexity of the world. With the help of writers as diverse as
Nietzsche, Wittgenstein, Woolf, Adorno, Levinas, Critchley,
Beauvoir, Le Doeuff, Irigaray, Cixous, Weil, and others, Boulous
Walker offers a foundational text in the emerging field of slow
philosophy, one that explores the importance of unhurried time in
establishing our institutional encounters with complex and
demanding works.
Locating poetry in a philosophy of the everyday, Brett Bourbon
continues a tradition of attention to logic in everyday utterances
through Wittgenstein, Austin, Quine, and Cavell, arguing that poems
are events of form, not just collections of words, which shape
everyone's lives. Poems taught in class are formalizations of the
everyday poems we live amidst, albeit unknowingly. Bourbon
resurrects these poems to construct an anthropology of form that
centers everyday poems as events or interruptions within our lives.
Expanding our understanding of what a poem is, this book argues
that poems be understood as events of form that may depend on words
but are not fundamentally constituted by them. This line of thought
delves into a poem's linguistic particularity, to ask what a poem
is and how we know. By reclaiming arenas previously ceded to
essayists and literary writers, Bourbon reveals the care and
attention necessary to uncovering the intimate relationship between
poems, life, reading and living. A philosophical meditation on the
nature of poetry, but also on the meaning of love and the claim of
words upon us, Everyday Poetics situates the importance of everyday
poems as events in our lives.
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