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Conmathematics (Conceptual Mathematics) : The Superultramodern Mathematics (SM)
The term Conmathematics [ invented by Kedar Joshi (b.1979), Cambridge (England), i.e. myself ] means Conceptual Mathematics. It is a meta - mathematical system that defines the structure of Superultramodern Mathematical Science. (Conmathematics...
It's Not Your Fault!
IT’S NOT YOUR FAULT! Saying goodbye is easy for the traveler. I am a person who traveled so much that I had no roots except ‘within’ and I learned to be connected to ‘What IS’. In the movie Good Will Hunting there are many great insights...
Socrates and Sages
You can easily see why it takes more than an Encyclopaedia to be able to follow what is going on from just this little quote. There are many twists and turns to follow in the pursuit of knowledge and its power that has been the purpose of many...
What does "bilocation" mean in Remote Viewing?
Bilocation is a word that any avid remote viewing researcher will come across and it is also an experience that all remote viewers have had while implementing the correct Technical Remote Viewing® protocols. Remote Viewing is still a fairly young...
Why Venus Flytraps Make Lousy Science Fair Projects
Every year, I receive many phone calls from parents wanting to purchase Venus Flytraps for their kids' science project. I ask them what type of experiment that they are doing, and usually it is about what type of food source will keep the traps...
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Intuition - Part II
The a-priori nature of intuitions of the first and the third kind led thinkers, such as Adolf Lasson, to associate it with Mysticism. He called it an "intellectual vision" which leads to the "essence of things". Earlier philosophers and theologians labeled the methodical application of intuitions - the "science of the ultimates". Of course, this misses the strong emotional content of mystical experiences.
Confucius talked about fulfilling and seeking one's "human nature" (or "ren") as "the Way". This nature is not the result of learning or deliberation. It is innate. It is intuitive and, in turn, produces additional, clear intuitions ("yong") as to right and wrong, productive and destructive, good and evil. The "operation of the natural law" requires that there be no rigid codex, but only constant change guided by the central and harmonious intuition of life.
II. Philosophers on Intuition - An Overview
IIA. Locke
But are intuitions really a-priori - or do they develop in response to a relatively stable reality and in interaction with it? Would we have had intuitions in a chaotic, capricious, and utterly unpredictable and disordered universe? Do intuitions emerge to counter-balance surprises?
Locke thought that intuition is a learned and cumulative response to sensation. The assumption of innate ideas is unnecessary. The mind is like a blank sheet of paper, filled gradually by experience - by the sum total of observations of external objects and of internal "reflections" (i.e., operations of the mind). Ideas (i.e., what the mind perceives in itself or in immediate objects) are triggered by the qualities of objects.
But, despite himself, Locke was also reduced to ideal (innate) intuitions. According to Locke, a colour, for instance, can be either an idea in the mind (i.e., ideal intuition) - or the quality of an object that causes this idea in the mind (i.e., that evokes the ideal intuition). Moreover, his "primary qualities" (qualities shared by all objects) come close to being eidetic intuitions.
Locke himself admits that there is no resemblance or correlation between the idea in the mind and the (secondary) qualities that provoked it. Berkeley demolished Locke's preposterous claim that there is such resemblance (or mapping) between PRIMARY qualities and the ideas that they provoke in the mind. It would seem therefore that Locke's "ideas in the mind" are in the mind irrespective and independent of the qualities that produce them. In other words, they are a-priori. Locke resorts to abstraction in order to repudiate it.
Locke himself talks about "intuitive knowledge". It is when the mind "perceives the agreement or disagreement of two ideas immediately by themselves, without the intervention of any other... the knowledge of our own being we have by intuition... the mind is presently filled with the clear light of it. It is on this intuition that depends all the certainty and evidence of all our knowledge... (Knowledge is the) perception of the connection of and agreement, or disagreement and repugnancy, of any of our ideas."
Knowledge is intuitive intellectual perception. Even when demonstrated (and few things, mainly ideas, can be intuited and demonstrated - relations within the physical realm cannot be grasped intuitively), each step in the demonstration is observed intuitionally. Locke's "sensitive knowledge" is also a form of intuition (known as "intuitive cognition" in the Middle Ages). It is the perceived certainty that there exist finite objects outside us. The knowledge of one's existence is an intuition as well. But both these intuitions are judgmental and rely on probabilities.
IIB. Hume
Hume denied the existence of innate ideas. According to him, all ideas are based either on sense impressions or on simpler ideas. But even Hume accepted that there are propositions known by the pure intellect (as opposed to propositions
dependent on sensory input). These deal with the relations between ideas and they are (logically) necessarily true. Even though reason is used in order to prove them - they are independently true all the same because they merely reveal the meaning or information implicit in the definitions of their own terms. These propositions teach us nothing about the nature of things because they are, at bottom, self referential (equivalent to Kant's "analytic propositions").
IIC. Kant
According to Kant, our senses acquaint us with the particulars of things and thus provide us with intuitions. The faculty of understanding provided us with useful taxonomies of particulars ("concepts"). Yet, concepts without intuitions were as empty and futile as intuitions without concepts. Perceptions ("phenomena") are the composite of the sensations caused by the perceived objects and the mind's reactions to such sensations ("form"). These reactions are the product of intuition.
IID. The Absolute Idealists
Schelling suggested a featureless, undifferentiated, union of opposites as the Absolute Ideal. Intellectual intuition entails such a union of opposites (subject and object) and, thus, is immersed and assimilated by the Absolute and becomes as featureless and undifferentiated as the Absolute is.
Objective Idealists claimed that we can know ultimate (spiritual) reality by intuition (or thought) independent of the senses (the mystical argument). The mediation of words and symbol systems only distorts the "signal" and inhibits the effective application of one's intuition to the attainment of real, immutable, knowledge.
IIE. The Phenomenologists
The Phenomenological point of view is that every thing has an invariable and irreducible "essence" ("Eidos", as distinguished from contingent information about the thing). We can grasp this essence only intuitively ("Eidetic Reduction"). This process - of transcending the concrete and reaching for the essential - is independent of facts, concrete objects, or mental constructs. But it is not free from methodology ("free variation"), from factual knowledge, or from ideal intuitions. The Phenomenologist is forced to make the knowledge of facts his point of departure. He then applies a certain methodology (he varies the nature and specifications of the studied object to reveal its essence) which relies entirely on ideal intuitions (such as the rules of logic).
Phenomenology, in other words, is an Idealistic form of Rationalism. It applies reason to discover Platonic (Idealism) essences. Like Rationalism, it is not empirical (it is not based on sense data). Actually, it is anti-empirical - it "brackets" the concrete and the factual in its attempt to delve beyond appearances and into essences. It calls for the application of intuition (Anschauung) to discover essential insights (Wesenseinsichten).
"Phenomenon" in Phenomenology is that which is known by consciousness and in it. Phenomenologists regarded intuition as a "pure", direct, and primitive way of reducing clutter in reality. It is immediate and the basis of a higher level perception. A philosophical system built on intuition would, perforce, be non speculative. Hence, Phenomenology's emphasis on the study of consciousness (and intuition) rather than on the study of (deceiving) reality. It is through "Wesensschau" (the intuition of essences) that one reaches the invariant nature of things (by applying free variation techniques).
About the Author
Sam Vaknin is the author of Malignant Self Love - Narcissism Revisited and After the Rain - How the West Lost the East. He is a columnist for Central Europe Review, PopMatters, and eBookWeb , a United Press International (UPI) Senior Business Correspondent, and the editor of mental health and Central East Europe categories in The Open Directory Bellaonline, and Suite101 .
Visit Sam's Web site at http://samvak.tripod.com
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