www.TheLogician.net © Avi Sion - all rights reserved
© Avi Sion
All rights reserved
Categorical and Conditional Deduction and Induction of the Natural, Temporal, Extensional, and Logical Modalities.
is an original, and wide-ranging treatise of formal logic. It deals with
deduction and induction, of categorical and conditional propositions, involving
the natural, temporal, extensional, and logical modalities.
and Modern logic have covered in detail only formal deduction from actual
categoricals, or from logical conditionals (conjunctives, hypotheticals, and
disjunctives). Deduction from modal categoricals has also been considered,
though very vaguely and roughly; whereas deduction from natural, temporal and
extensional forms of conditioning has been all but totally ignored. As for
induction, apart from the elucidation of adductive processes (the scientific
method), almost no formal work has been done.
is the first work ever
to strictly formalize the inductive processes of generalization and
particularization, through the novel methods of factorial analysis, factor
selection and formula revision.
is the first work ever
to develop a formal logic of the natural, temporal and extensional types of
conditioning (as distinct from logical conditioning), including their
production from modal categorical premises.
a great many other new discoveries, organized into a unified, consistent and
empirical system, with precise definitions of the various categories and types
of modality (including logical modality), and full awareness of the
epistemological and ontological issues involved. Though strictly formal, it uses
ordinary language, wherever symbols can be avoided.
its other contributions: a full
list of the valid modal syllogisms (which
is more restrictive than previous lists); the main formalities of the
logic of change (which introduces a dynamic instead of merely static
approach to classification); the first formal definitions
of the modal types of causality;
a new theory of class logic, free of
the Russell Paradox; as well as a critical review of modern metalogic.
it is impossible to list briefly all the innovations in logical science -- and
therefore, epistemology and ontology -- this book presents; it has to be read
for its scope to be appreciated.
Copyright Avi Sion,
1990. (Rev. Ed. 1996.)
All rights reserved.