Symbolic logic

“ The aim of the paper is not to add one more to the numerous systems of notation and symbolic method that have been already worked out more or less independently, but rather to bring out some underlying principles and assumptions which belong equally to the ordinary Formal Logic, to Symbolic Logic, and to the so-called Logic of Relatives. ”

“ But such a common element in the two natures does not of itself necessitate symbolic reference, nor does it decide which shall be symbol and which shall be meaning, nor does it secure that the symbolic reference shall be immune from producing errors and disasters for the percipient. We must conceive perception in the light of a primary phase in the self-production of an occasion of actual existence. ”

“ Formal logic similarly dissects the spirit into its parts, makes distinctions between conceptions, ideas, judgments, conclusions, divides these into subdivisions, classifies conceptions according to species, separates abstract and concrete thought, knows many varieties of judgments, registers three, four, or more modes of conclusion. But at the same time this formal logic recoils from touching on the question as to how the universal spirit is related to the universe, what role it plays in the general existence, whether it is part and parcel of nature or transcendental. ”

“ In that case, logic would be an imperative, not directed at the knowledge of truth, but at the adjusting and fixing of a world which must seem true to us. In short, the question is a debatable one: are the axioms of logic adequate to reality, or are they measures and means by which alone we can, create realities, or the concept " reality "? ”

“ Values, whether ethical or logical, without an examination and formulation of their ground, relations, origin, and interconnection, would be merely rules of thumb, popular phrases, or pastoral precepts. The actual methodology of the sciences or applied logic is logic as art. ”

“ Form is not a non-entity but the most important feature of reality, and the pure laws of form are the determinative factors of the world. The sciences of the laws of pure form, logic, arithmetic, algebra, geometry, etc., are therefore the key to a comprehension of the world, and morality is the realization of ideals, i. e., of the conceptions of pure forms, which are higher, nobler, and better than those which have been actualized. ”

“ And for the reason that in the stage of our process where we now find ourselves, this task is capable of only a symbolic solution, we may easily fall under the impression that we stand already in the sphere of genuine symbolism. ”

“ We speak, for example, of the reality of a plan or a purpose, meaning thereby that they are no longer inner and subjective, but have passed into being-there-and-then. In the same sense the body may be called the reality of the soul, and the law the reality of freedom, and the world altogether the reality of the divine idea. The word 'reality' is however used in another acceptation to mean that something behaves conformably to its essential characteristic or notion. ”

“ Any man of sense has only to open his eyes, or to observe himself within, to appreciate how all original knowledge is of the concrete, the definite, the individual. This, I say, is what the traditional method in logic seems to imply. ”

“ Interior light, or reason, teaches us by the processes of thought those intellectual truths which are fixed in the human mind by physics, logic, and ethics, through rational, natural, and moral action on the will, the conduct, and the speech, which are the triple functions of the understanding, and on the three faculties of the reason—apprehension, judgment, and action; this interior light acts on outward things by physics, mathematics, and metaphysics, and perceives God in all things by logic, by physics, and by ethics. ”

“ And we observe the constitution of that realm. It is through and through a constitution that answers our questions, embodies our meanings, integrates our purposes. It is then in essence a realm of fact fulfilling purpose, of life embodying idea, of meaning won by means of the experience of its own content. The now present but passing form of our human consciousness is fragmentary. We wait, wonder, pass from fact to fact, from fragment to fragment. What a study of the concept of Being reveals to us is precisely that the whole has a meaning, and is real only as a Meaning Embodied. ”

“ When they themselves say that they perceive the things by an immediate act of a faculty given for that purpose by their Creator, it would be said of them by their opponents that they find an idea or conception in their own minds, and from the idea or conception, infer the existence of a corresponding objective reality. ”

“ The man mind is functioning symbolically when some components of its experience elicit consciousness, beliefs, emotions, and usages, respecting other components of its experience. The former set of components are the ‘symbols,’ and the latter set constitute the ‘meaning’ of the symbols. The organic functioning whereby there is transition from the symbol to the meaning will be called ‘symbolic reference.’
This symbolic reference is the active synthetic element contributed by the nature of the percipient. It requires a ground founded on some community between the natures of symbol and meaning. ”

“ The Conceptualist may urge that the Nominalist's forms of statement and argument exist for the sake of their meaning, namely, judgments [Pg 15] and reasonings; and that the Materialist's laws of Nature are only judgments founded upon our conceptions of Nature; that the truth of observations and experiments depends upon our powers of perception; that perception is inseparable from understanding, and that a system of Induction may be constructed upon the axiom of Causation, regarded as a principle of Reason, just as well as by considering it as a law of Nature, and upon much the same lines. ”

“ These brief remarks contain, I believe, all that is well grounded in the doctrine, that the conception by which the mind arranges and gives unity to phenomena must be furnished by the mind itself, and that we find the right conception by a tentative process, trying first one and then another until we hit the mark. The conception is not furnished by the mind until it has been furnished to the mind ”

“ Note next that we are led to deal with our symbolic conceptions as though they were actual ones, not only because we cannot clearly separate the two, but also because, in the great majority of cases, the first serve our purposes nearly or quite as well as the last—are simply the abbreviated signs we substitute for those more elaborate signs which are our equivalents for real objects. Those very imperfect representations of ordinary things which we habitually make in thinking, we know can be developed into adequate ones if needful. ”

“ Furthermore, the strong liability of confounding this speculative or logical unity with the concrete notion of individuality, or mathematical unity, has been, as I shall show hereafter, a fruitful source of error in both religious and metaphysical theories. Pure logic deals with quality only, not with quantity. ”

“ Even those attributes of an object which might seem with greatest propriety to be called states of the object itself, its sensible qualities, its colour, hardness, shape, and the like, are in reality (as no one has pointed out more clearly than Brown himself) phenomena of causation, in which the substance is distinctly the agent, or producing cause, the patient being our own organs, and those of other sentient beings. ”

“ We find the inner ground for this systematisation of judgments in the circumstance that when the Notion, which is the unity of Being and Essence in a comprehensive thought, unfolds, as it does in the judgment, it must reproduce these two stages in a transformation proper to the notion. ”

“ In other words, mankind have not one universal character, but there exist universal laws of the Formation of Character. And since it is by these laws, combined with the facts of each particular case, that the whole of the phenomena of human action and feeling are produced, it is on these that every rational attempt to construct the science of human nature in the concrete, and for practical purposes, must proceed. ”

“ The so-called axiom of causation, or even the more generally stated “principle of sufficient reason,” is only one of the forms in which the Idea gets partially embodied in our thought about things. And the only warrant for believing in such a principle at all is the Ought, whose deepest basis lies in our fundamental assurance that all reality embodies purpose. ”

“ All this active construction from sense-impressions expresses certain fundamental interests that our human spirit takes in reality. We want to have a world of a particular character; and so, from sense-impressions, we are constantly trying to build up such a world. We are prejudiced in favor of regularity, necessity, and simplicity in the world; and so we continually manipulate the data of sense for the sake of building up a notion of a regular, necessary, and simple universe. ”

“ A clear theoretic intellect, with its generous enthusiasm for the exact truth at all costs and hazards, pushes aside symbols as being mere make-believes, veiling and distorting that inner sanctuary of simple truth which reason claims as its own. ”

“ These, which are states of the person's mind, are the real antecedent in the sequence, the real cause in the causation, asserted by the proposition. But these are also the real ground, or foundation, of the attribute Prudence; since wherever these states of mind exist we may predicate prudence, even before we know whether any conduct has followed. And in this manner every assertion respecting an attribute, may be transformed into an assertion exactly equivalent respecting the fact or phenomenon which is the ground of the attribute. ”

“ If the 'logical prius' of our mind were really the 'implicit presence' of the whole 'concrete universal,' the whole of reason, or reality, or spirit, or the absolute idea, or whatever it may be called, in all our finite thinking, and if this reason worked (for example) by the dialectical method, doesn't it seem odd that in the greatest instance of rationalization mankind has known, in 'science,' namely, the dialectical method should never once have been tried? ”

“ But in fact the opposition of instinct and reason is mainly illusory. Instinct, intuition, or insight is what first leads to the beliefs which subsequent reason confirms or confutes; but the confirmation, where it is possible, consists, in the last analysis, of agreement with other beliefs no less instinctive. Reason is a harmonising, controlling force rather than a creative one. Even in the most purely logical realm, it is insight that first arrives at what is new. ”

“ The philosophy which I wish to advocate may be called logical atomism or absolute pluralism, because, while maintaining that there are many things, it denies that there is a whole composed of those things. We shall see, therefore, that philosophical propositions, instead of being concerned with the whole of things collectively, are concerned with all things distributively ”

“ We have thus defined the object and the truth of an idea. But observe that thus we stand upon the threshold of a new definition of Being. Being, as our Third Conception declared, is what gives true ideas their truth; or in other words, to be real is to be the object of a true idea. We are ready, now that we have defined both object and truth, to assert, as our Fourth and final Conception of Being, this, that What is, or what is real, is as such the complete embodiment, in individual form and in final fulfilment, of the internal meaning of finite ideas. ”

“ When in an act of human experience there is a symbolic reference, there are in the first place two sets of components with some objective relationship between them, and this relationship will vary greatly in different instances. In the second place the total constitution of the percipient has to effect the symbolic reference from one set of components, the symbols, to the other set of components, the meaning. ”

“ It is therefore necessary, in analysing a belief, to look for some other logical form than a two-term relation. Failure to realise this necessity has, in my opinion, vitiated almost everything that has hitherto been written on the theory of knowledge, making the problem of error insoluble and the difference between belief and perception inexplicable.
Modern logic, as I hope is now evident, has the effect of enlarging our abstract imagination, and providing an infinite number of possible hypotheses to be applied in the analysis of any complex fact. ”

“ We shall, perhaps to our surprise, reach the seemingly paradoxical and essentially idealistic thesis that no being in heaven or in earth, or in the waters under the earth, has power to give to an idea any purpose unless, the idea itself, as idea, as a fragment of life, as a conscious thrill, so to speak, of inner meaning, first somehow truly learns so to develope its internal meaning as to assign to itself just that specific purpose. ”

“ Nor is sense the only source of materialised conception. There are conceptions constituted by materials emanating from self-conscious thought, such as those of law, morality, religion, and even of thought itself, and it requires some effort to detect wherein lies the difference between such conceptions and thoughts having the same import. ”

“ In vain, then, does one stand apart from the internal meaning, from the conscious inner purpose embodied in a given idea, and still attempt to estimate whether or no that idea corresponds with its object. There is no purely external criterion of truth. You cannot merely look from without upon an ideal construction and say whether or no it corresponds to its object. Every finite idea has to be judged by its own specific purpose. Ideas are like tools. ”