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Books > Humanities > Philosophy > Topics in philosophy > Logic
Tadeusz Kotarbinski is one of towering figures in contemporary
Polish philosophy. He was a great thinker, a great teacher, a great
organizer of philosophical and scientific life (he was, among
others, the rector of the Uni versi ty of t6dz, the president of
the Polish Academy of Sciences, and the president of the
International Institute of Philosophy), and, last but not least, a
great moral authority. He died at the age of 96 on October 3, 1981.
Kotarbinski was active in almost all branches of philosophy. He
made many significant contributions to logic, semantics, ontology,
epistemology, history of philosophy, and ethics. He created a new
field, namely praxiology. Thus, using an ancient distinction, he
contributed to theoretical as well as practical philoso hy.
Kotarbinski regarded praxiology as his major philosophical "child."
Doubtless, praxiology belongs to practical philosophy. This
collection, howewer, is mainly devoted to Kotarbinski' s
theoretical philosophy. Reism - Kotarbinski' s fundamental idea of
ontology and semantics - is the central topic of most papers
included here; even Pszczolowski' s essay on praxiology considers
its ontological basis., Only two papers, namely that of
Zarnecka-Bialy and that of Wolenski, are not linked with reism.
However, both fall under the general label "Kotarbinski: logic,
semantics and ontology." The collection partly consists of earlier
published papers.
"Necessity is the mother of invention. " Part I: What is in this
book - details. There are several different types of formal proof
procedures that logicians have invented. The ones we consider are:
1) tableau systems, 2) Gentzen sequent calculi, 3) natural
deduction systems, and 4) axiom systems. We present proof
procedures of each of these types for the most common normal modal
logics: S5, S4, B, T, D, K, K4, D4, KB, DB, and also G, the logic
that has become important in applications of modal logic to the
proof theory of Peano arithmetic. Further, we present a similar
variety of proof procedures for an even larger number of regular,
non-normal modal logics (many introduced by Lemmon). We also
consider some quasi-regular logics, including S2 and S3. Virtually
all of these proof procedures are studied in both propositional and
first-order versions (generally with and without the Barcan
formula). Finally, we present the full variety of proof methods for
Intuitionistic logic (and of course Classical logic too). We
actually give two quite different kinds of tableau systems for the
logics we consider, two kinds of Gentzen sequent calculi, and two
kinds of natural deduction systems. Each of the two tableau systems
has its own uses; each provides us with different information about
the logics involved. They complement each other more than they
overlap. Of the two Gentzen systems, one is of the conventional
sort, common in the literature.
The collective focus of the essays here presented consists of the
attempt to overcome the deadlock between metaphysical and non- (or
anti-) metaphysical Hegel interpretations. There is no doubt that
Hegel rejects traditional and influential forms of metaphysical
thought. There is also no doubt that he grounds his philosophical
system on a metaphysical theory of thought and reality. The
question asked by the contributors in this volume is therefore:
what kind of metaphysics does Hegel reject, and what kind does he
embrace? Some of the papers address the issue in general and
comprehensive terms, but from different, even opposite
perspectives: Hegel's claim of a 'unity' of logic and metaphysics;
his potentially deflationary understanding of metaphysics; his
overt metaphysical commitments; his subject-less notion of logical
thought; and his criticism of Kant's critique of metaphysics. Other
contributors discuss the same topics in view of very specific
subject-matter in Hegel's corpus, to wit: the philosophy of
self-consciousness; practical philosophy; teleology and holism; a
particular brand of naturalism; language's relation to thought;
'true' and 'spurious' infinity as pivotal in philosophic thinking;
and Hegel's conception of human agency and action.
This skit of Bertrand Russell's philosophy was originally published
in 1918 by Russell's correspondent friend Jourdain. The
introduction explains that the contents purport to be lost papers
written by Mr. B*rtr*nd R*ss*ll, a contemporary of Bertrand
Russell. This politically humorous volume from the early 20th
Century parodies the writing style of Russell as well as his
theories.
Philosophical Dimensions of Logic and Science is a collection of
outstanding contributed papers presented at the 11th International
Congress of Logic, Methodology, and Philosophy of Science held in
Krakow in 1999. The Congress was a follow-up to the series of
meetings, initiated once by Alfred Tarski, which aimed to provide
an interdisciplinary forum for scientists, philosophers and
logicians. The articles selected for publication in the book comply
with that idea and innovatively address current issues in logic,
metamathematics, philosophy of language, philosophy of science, and
cognitive science, as well as philosophical problems of biology,
chemistry and physics.
The volume will be of interest to philosophers, logicians and
scientists interested in foundational problems of their
disciplines."
The present study of sense and reference in the logic of Frege
represents the first fruits of several years of dealing with the
work of this great German logician. In the preparation of this
work, which was presented as a dissertation to the Faculty of
Philosophy of the Friedrich-Alexander University in
Erlangen/Nuremberg, assistance came from many quarters. lowe most
to Professor R. Zocher, who directed this dissertation with
understanding counsel and unflagging interest. I must also thank
Professor P. Lorenzen, whose courses and seminars provided more
inspiration than might be immediately apparent in the book.
Professor W. Britzelmayr of Munich was so kind as to provide copies
of important fragments of Frege's works. These texts are reproduced
with the permission of Professor H. Hermes, Director of the
'Institut fUr mathematische Logik und Grund lagenforschung' in
Munster, where Frege's works and letters are being prepared for
publication. The preparation of this work was greatly facilitated
by a two-year grant from the Fritz Thyssen Foundation. CHRISTIAN
THIEL Nuremberg, February 1965 v TRANSLATOR'S NOTE In the difficult
matter of Fregean terminology we have taken Ignacio Angelelli's
translation of Two Soviet Studies on Frege as the model. Both
Professor Angelelli and Dr. Thiel have been so kind as to read over
the translation before publication."
It is with great pleasure that we are presenting to the community
the second edition of this extraordinary handbook. It has been over
15 years since the publication of the first edition and there have
been great changes in the landscape of philosophical logic since
then. The first edition has proved invaluable to generations of
students and researchers in formal philosophy and language, as weIl
as to consumers of logic in many applied areas. The main logic
article in the Encyclopaedia Britannica 1999 has described the
first edition as 'the best starting point for exploring any of the
topics in logic'. We are confident that the second edition will
prove to be just as good The first edition was the second handbook
published for the logic commu nity. It followed the North Holland
one volume Handbook 0/ Mathematical Logic, published in 1977,
edited by the late Jon Barwise. The four volume Handbook 0/
Philosophical Logic, published 1983-1989 came at a fortunate
temporal junction at the evolution of logic. This was the time when
logic was gaining ground in computer science and artificial
intelligence circles. These areas were under increasing commercial
pressure to provide devices which help and/or replace the human in
his daily activity. This pressure required the use of logic in the
modelling of human activity and organisa tion on the one hand and
to provide the theoretical basis for the computer program
constructs on the other."
This book is unusual in many respects. It was written by a prolific
author whose tragic untimely death did not allow to finish this and
many other of his undertakings. It was assembled from numerous
excerpts, notes, and fragments according to his initial plans.
Zilberman's legacy still awaits its true discovery and this book is
a second installment to it after The Birth of Meaning in Hindu
Thought (Kluwer, 1988). Zilberman's treatment of analogy is unique
in its approach, scope, and universality for Western philosophical
thought. Constantly compared to eastern and especially classical
Indian interpretations, analogy is presented by Zilberman as an
important and in many ways primary method of philosophizing or
philosophy-building. Due to its universality, this method can be
also applied in linguistics, logic, social analysis, as well as
historical and anthropological research. These applications are
integral part of Zilberman's book. A prophetic leap to largely
uncharted territories, this book could be of considerable interest
for experts and novices in the field of analogy alike.
This volume is a collection of my essays on philosophy of logic
from a phenomenological perspective. They deal with the four kinds
of logic I have been concerned with: formal logic, transcendental
logic, speculative logic and hermeneutic logic. Of these, only one,
the essay on Hegel, touches upon 'speculative logic', and two,
those on Heidegger and Konig, are concerned with hermeneutic logic.
The rest have to do with Husser and Kant. I have not tried to show
that the four logics are compatible. I believe, they are--once they
are given a phenomenological underpinning. The original plan of
writing an Introduction in which the issues would have to be
formulated, developed and brought together, was abandoned in favor
of writing an Introductory Essay on the 'origin'- in the
phenomenological sense -of logic. J.N.M. Philadelphia INTRODUCTION:
THE ORIGIN OF LOGIC The question of the origin of logic may pertain
to historical origin (When did it all begin? Who founded the
science of logic?), psychological origin (When, in the course of
its mental development, does the child learn logical operations?),
cultural origin (What cultural - theological, metaphysical and
linguisti- conditions make such a discipline as logic possible?),
or transcendental constitutive origin (What sorts of acts and/or
practices make logic possible?)."
The first and most thoroughly developed audience-oriented
argumentation text has been updated to its 8th edition:
Argumentation and Critical Decision Making presents argumentation
as a cooperative, communicative process. This text examines the
general principles of argument in a rigorous yet readable manner
and then applies those principles to different spheres of life --
law, science, religion, business, government, and politics -- to
explore how conventions of argument change when applied to these
real-world arenas. Focusing on the dynamics of decision making and
using real-life examples to illustrate principles, Argumentation
and Critical Decision Making aims to help readers develop practical
argumentation skills within the world of their daily lives.
Dynamic Epistemic Logic is the logic of knowledge change. This
book provides various logics to support such formal specifications,
including proof systems. Concrete examples and epistemic puzzles
enliven the exposition. The book also offers exercises with
answers. It is suitable for graduate courses in logic. Many
examples, exercises, and thorough completeness proofs and
expressivity results are included. A companion web page offers
slides for lecturers and exams for further practice.
The papers collected in this volume were written over a period of
some eight or nine years, with some still earlier material
incorporated in one of them. Publishing them under the same cover
does not make a con tinuous book of them. The papers are
thematically connected with each other, however, in a way which has
led me to think that they can naturally be grouped together. In any
list of philosophically important concepts, those falling within
the range of application of modal logic will rank high in interest.
They include necessity, possibility, obligation, permission,
knowledge, belief, perception, memory, hoping, and striving, to
mention just a few of the more obvious ones. When a satisfactory
semantics (in the sense of Tarski and Carnap) was first developed
for modal logic, a fascinating new set of methods and ideas was
thus made available for philosophical studies. The pioneers of this
model theory of modality include prominently Stig Kanger and Saul
Kripke. Several others were working in the same area independently
and more or less concurrently. Some of the older papers in this
collection, especially 'Quantification and Modality' and 'Modes of
Modality', serve to clarify some of the main possibilities in the
semantics of modal logics in general."
"Exposes the vast gap between the actual science underlying AI and
the dramatic claims being made for it." -John Horgan "If you want
to know about AI, read this book...It shows how a supposedly
futuristic reverence for Artificial Intelligence retards progress
when it denigrates our most irreplaceable resource for any future
progress: our own human intelligence." -Peter Thiel Ever since Alan
Turing, AI enthusiasts have equated artificial intelligence with
human intelligence. A computer scientist working at the forefront
of natural language processing, Erik Larson takes us on a tour of
the landscape of AI to reveal why this is a profound mistake. AI
works on inductive reasoning, crunching data sets to predict
outcomes. But humans don't correlate data sets. We make
conjectures, informed by context and experience. And we haven't a
clue how to program that kind of intuitive reasoning, which lies at
the heart of common sense. Futurists insist AI will soon eclipse
the capacities of the most gifted mind, but Larson shows how far we
are from superintelligence-and what it would take to get there.
"Larson worries that we're making two mistakes at once, defining
human intelligence down while overestimating what AI is likely to
achieve...Another concern is learned passivity: our tendency to
assume that AI will solve problems and our failure, as a result, to
cultivate human ingenuity." -David A. Shaywitz, Wall Street Journal
"A convincing case that artificial general
intelligence-machine-based intelligence that matches our own-is
beyond the capacity of algorithmic machine learning because there
is a mismatch between how humans and machines know what they know."
-Sue Halpern, New York Review of Books
While post-Fregean logicians tend to ignore or even denigrate the
traditional logic of Aristotle and the Scholastics, new work in
recent years has shown the viability of a renewed, extended, and
strengthened logic of terms that shares fundamental features of the
old syllogistic. A number of logicians, following the lead of Fred
Sommers, have built just such a term logic. It is a system of
formal logic that not only matches the expressive and inferential
powers of today's standard logic, but surpasses it and is far
simpler and more natural. This book aims to substantiate this claim
by exhibiting just how the term logic can shed need light on a
variety of challenges that face any system of formal logic.
Within traditional decision theory, common decision principles --
e.g. the principle to maximize utility -- generally invoke
idealization; they govern ideal agents in ideal circumstances. In
Realistic Decision Theory, Paul Weirch adds practicality to
decision theory by formulating principles applying to nonideal
agents in nonideal circumstances, such as real people coping with
complex decisions. Bridging the gap between normative demands and
psychological resources, Realistic Decision Theory is essential
reading for theorists seeking precise normative decision principles
that acknowledge the limits and difficulties of human
decision-making.
Richard Tieszen presents an analysis, development, and defense of a
number of central ideas in Kurt Goedel's writings on the philosophy
and foundations of mathematics and logic. Tieszen structures the
argument around Goedel's three philosophical heroes - Plato,
Leibniz, and Husserl - and his engagement with Kant, and
supplements close readings of Goedel's texts on foundations with
materials from Goedel's Nachlass and from Hao Wang's discussions
with Goedel. As well as providing discussions of Goedel's views on
the philosophical significance of his technical results on
completeness, incompleteness, undecidability, consistency proofs,
speed-up theorems, and independence proofs, Tieszen furnishes a
detailed analysis of Goedel's critique of Hilbert and Carnap, and
of his subsequent turn to Husserl's transcendental philosophy in
1959. On this basis, a new type of platonic rationalism that
requires rational intuition, called 'constituted platonism', is
developed and defended. Tieszen shows how constituted platonism
addresses the problem of the objectivity of mathematics and of the
knowledge of abstract mathematical objects. Finally, he considers
the implications of this position for the claim that human minds
('monads') are machines, and discusses the issues of pragmatic
holism and rationalism.
My impulse when I decided to collect into a single volume the
essays on topics in logical theory and related subjects that I have
written in the last fifteen years was to borrow from the title of a
work by Sextus Empiricus, and call my collection "Against the
Logicians." Although the essays address a variety of problems that
interest me, the thread that runs through them is a scepticism
about how logicians see things. So, the title appealed to me.
However, I had second thoughts and chose instead a title of one of
my own essays, "In Defense of Informal Logic," which emphasizes my
support for other approaches. Although my criticisms of logical
theory are designed to cut deeply, I do not want to be unresponsive
to the needs that it is supposed to satisfy. However, my position
that we have adequate resources for critically analyzing a
particular argument and 00 not need a theory of argumentation, will
not completely satisfy those who think that there is a need for it.
So, I want them to know that I am taking their concerns seriously.
First published in 1952, professor 's Strawson 's highly
influential Introduction to Logical Theory provides a detailed
examination of the relationship between the behaviour of words in
common language and the behaviour of symbols in a logical system.
He seeks to explain both the exact nature of the discipline known
as Formal Logic, and also to reveal something of the intricate
logical structure of ordinary unformalised discourse.
The aim of the book is to introduce the reader to some new areas
oflogic which have yet to find their way into the bulk of modern
logic books written from the more orthodox direction of the
mainstream of develop ments. Such a work seems to me much needed,
both because of the in trinsic value and increasing prominence of
the nonstandard sector of logic, and because this particular sector
is of the greatest interest from the standpoint of philosophical
implications and applications. This book unites a series of studies
in philosophical logic, drawing for the most part on material which
I have contributed to the journal liter ature of the subject over
the past ten years. Despite the fact that some of these essays have
been published in various journals at different times, they possess
a high degree of thematic and methodological unity. All of these
studies deal with material of substantial current interest in philo
sophical logic and embody a fusion of the modern techniques of
logical and linguistic-philosophical analysis for the exploration
of areas of logic that are of substantial philosophical relevance."
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