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The branches of mathematics are as various as the sciences to which they belong, and each subject of physical enquiry has its appropriate mathematics. In every form of material manifestation, there is a corresponding form of human thought, so that the human mind is as wide in its range of thought as the physical universe in which it thinks.
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§ 2

 

Benjamin Peirce

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The sphere of mathematics is here extended, in accordance with the derivation of its name, to all demonstrative research, so as to include all knowledge strictly capable of dogmatic teaching. Mathematics is not the discoverer of laws, for it is not induction; neither is it the framer of theories, for it is not hypothesis; but it is the judge over both, and it is the arbiter to which each must refer its claims ; and neither law can rule nor theory explain without the sanction of mathematics. It deduces from a law all its consequences, and develops them into the suitable form for comparison with observation, and thereby measures the strength of the argument from observation in favor of a proposed law or of a proposed form of application of a law.
Mathematics, under this definition, belongs to every enquiry, moral as well as physical. Even the rules of logic, by which it is rigidly bound, could not be deduced without its aid. The laws of argument admit of simple statement, but they must be curiously transposed before they can be applied to the living speech and verified by,observation.

 

Benjamin Peirce

 

Consciousness does not need physical form. But physical form needs Consciousness. And Consciousness enjoys physical form, because physical form is the leading edge of thought. So, Consciousness expands through the physical form. It's not one or the other.

 

Esther Hicks

 

What we call thought (1) is itself an orderly thing, and (2) can only be applied to material, i.e. to perceptions or experiences, which have a certain degree of orderliness. This has two consequences. First, a physical organization, to be in close correspondence with thought (as my brain is with my thought) must be a very well-ordered organization, and that means that the events that happen within it must obey strict physical laws, at least to a very high degree of accuracy. Secondly, the physical impressions made upon that physically well-organized system by other bodies from outside, obviously correspond to the perception and experience of the corresponding thought, forming its material, as I have called it. Therefore, the physical interactions between our system and others must, as a rule, themselves possess a certain degree of physical orderliness, that is to say, they too must obey strict physical laws to a certain degree of accuracy.
PHYSICAL LAWS REST ON ATOMIC STATISTICS AND ARE THEREFORE ONLY APPROXIMATE

 

Erwin Schrodinger

 

As regards ... what is independent of our bodily makeup we are all individually made; each one of us is his or her own self, an individual. With the exception of the far less important differences that show up as racial or national differences ... but which are (if you have a sense for this you cannot help noticing it) mere trifles by comparison with differences in individual gifts and skills: with the exception of these we are all equal as human beings ... as regards our external, physical humanity. We are equal as human beings, here in the physical world, specifically in that we all have the same human form and all manifest a human countenance. The fact that we all bear a human countenance and encounter one another as external, physical human beings... this makes us equal on this footing. We differ from one another in our individual gifts which, however, belong to our inner nature.

 

Rudolf Steiner

 

The observing mind is not a physical system, it cannot interact with any physical system. And it might be better to reserve the term "subject" for the observing mind. ... For the subject, if anything, is the thing that senses and thinks. Sensations and thoughts do not belong to the "world of energy."

 

Erwin Schrodinger