| Logic [in the narrow sense],
Logic Proper, Critical Logic
"... I extend logic to embrace all the necessary principles
of semeiotic, and I recognize a logic of icons, and a logic of indices, as well as
a logic of symbols; and in this last I recognize three divisions: Stecheotic
(or stoicheiology), which I formerly called Speculative Grammar;
Critic, which
I formerly called Logic; and Methodeutic, which I formerly called Speculative
Rhetoric." ('Phaneroscopy', CP 4.9, c. 1906)
"Logic is the science of the general necessary laws of Signs
and especially of Symbols. As such, it has three departments. Obsistent logic,
logic in the narrow sense, or Critical Logic, is the theory of the general
conditions of the reference of Symbols and other Signs to their professed
Objects, that is, it is the theory of the conditions of truth. Originalian
logic, or Speculative Grammar, is the doctrine of the general conditions of
symbols and other signs having the significant character. It is this department
of general logic with which we are, at this moment, occupying ourselves.
Transuasional logic, which I term Speculative Rhetoric, is substantially what
goes by the name of methodology, or better, of methodeutic. It is the doctrine
of the general conditions of the reference of Symbols and other Signs to the
Interpretants which they aim to determine..." ('Minute Logic', CP 2.93, 1902)
"There are three ways in which signs can be studied, first as to the general conditions of their having any meaning, which is
the Grammatica Speculativa of Duns Scotus, second as to the condions of their
truth, which is logic, and thirdly, as to the conditions of their transferring
their meaning to other signs." ('Detached Ideas Continued and the Dispute Between Nominalists and Realists', NEM 4:331, 1898)
"In consequence of every representamen being thus connected
with three things, the ground, the object, and the interpretant, the science of
semiotic has three branches. The first is called by Duns Scotus grammatica
speculativa. We may term it pure grammar. It has for its task to ascertain what
must be true of the representamen used by every scientific intelligence in
order that they may embody any meaning. The second is logic proper. It is
the science of what is quasi-necessarily true of the representamina of any
scientific intelligence in order that they may hold good of any object, that
is, may be true. Or say, logic proper is the formal science of the conditions
of the truth of representations. The third, in imitation of Kant's fashion of
preserving old associations of words in finding nomenclature for new
conceptions, I call pure rhetoric. Its task is to ascertain the laws by
which in every scientific intelligence one sign gives birth to another, and
especially one thought brings forth another." (A Fragment, CP 2.229, c. 1897)
"But besides being logical in the sense of demanding a logical analysis, our inquiry also relates to two as a conception of logic. The term "logic" is unscientifically by me employed in two distinct senses. In its narrower sense, it is the science of the necessary conditions of the attainment of truth. In its broader sense, it is the science of the necessary laws of thought, or, still better (thought always taking place by means of signs), it is general semeiotic, treating not merely of truth, but also of the general conditions of signs being signs (which Duns Scotus called grammatica speculativa), also of the laws of the evolution of thought, which since it coincides with the study of the necessary conditions of the transmission of meaning by signs from mind to mind, and from one state of mind to another, ought, for the sake of taking advantage of an old association of terms, be called rhetorica speculativa, but which I content myself with inaccurately calling objective logic, because that conveys the correct idea that it is like Hegel's logic." ('The Logic of Mathematics; An Attempt to Develop My Categories from Within', CP 1.444, c. 1896)
""Exact" logic, in its widest sense, will (as I apprehend) consist of three parts. For it will be necessary, first of all, to study those properties of beliefs which belong to them as beliefs, irrespective of their stability. This will amount to what Duns Scotus called speculative grammar. For it must analyse an assertion into its essential elements, independently of the structure of the language in which it may happen to be expressed. It will also divide assertions into categories according to their essential differences. The second part will consider to what conditions an assertion must conform in order that it may correspond to the "reality," that is, in order that the belief it expresses may be stable. This is what is more particularly understood by the word logic. It must consider, first, necessary, and second, probable reasoning. Thirdly, the general doctrine must embrace the study of those general conditions under which a problem presents itself for solution and those under which one question leads on to another. As this completes a triad of studies, or trivium, we might, not inappropriately, term the last study Speculative rhetoric. This division was proposed in 1867 by me, but I have often designated this third part as objective logic." ('The Regenerated Logic', CP 3.430, 1896)
"The sciences of speculative grammar, logic, and speculative rhetoric may be called the philosophical trivium. ('Short Logic', EP 2:19, 1895)
"We come, therefore, to this, that logic treats of the
reference of symbols in general to their objects. In this view it is one of a
trivium of conceivable sciences. The first would treat of the formal conditions
of symbols having meaning, that is of the reference of symbols in general to their
grounds or imputed characters, and this might be called formal grammar; the second,
logic, would treat of the formal conditions of the truth of symbols; and the third
would treat of the formal conditions of the force of symbols, or their power of
appealing to a mind, that is, of their reference in general to interpretants, and
this might be called formal rhetoric." ('On a New List of Categories', CP 1.559, 1867)
"The science of the general conditions to which every symbol is subjected in so far as it is related | a logos is General Grammar to < a language is General Rhetoric | an Object is General Logic. " ('Teleological Logic', W 1:304, 1865)
"The science of the general laws of relations
of symbols to logoi is general grammar. The science of the general laws of their relations to
objects is logic. And the science of the general laws of their relations to
other systems of symbols is general rhetoric." (Harvard Lectures on the Logic of Science, W 1:258, 1865)
"Symbols, as such, are subject to three
laws one of which is
the conditio sine qua non of its standing for anything, the second of its
translating anything, and the third of its realizing anything. The first law is
Logic, the second Universal Rhetoric, the third Universal Grammar."
(Harvard Lectures on the Logic of Science, W 1:274, 1865)
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