Forum Philosophy of Freedom Study Group
Are There limits To Cognition? The ideal principles which thinking discovers seem too airy for the dualist, and he seeks, in addition, real principles with which to support them.
7-5) MATHEMATISM (Gemini)
[12] The dualist believes that he would dissolve away the whole world into a mere abstract. scheme of concepts, did he not insist on real connections between the objects besides the conceptual ones. In other words, the ideal principles which thinking discovers seem too airy for the dualist, and he seeks, in addition, real principles with which to support them.
[13] Let us examine these real principles a little more closely. The naïve man (naïve realist) regards the objects of external experience as realities. The fact that his hands can grasp these objects, and his eyes see them, is for him sufficient proof of their reality. "Nothing exists that cannot be perceived" is, in fact, the first axiom of the naïve man; and it is held to be equally valid in its converse: "Everything which can be perceived exists." The best evidence for this assertion is the naïve man's belief in immortality and ghosts. He thinks of the soul as refined material substance which may, in special circumstances, become visible even to the ordinary man (naïve belief in ghosts).
[14] In contrast with this real world of his, the naïve realist regards everything else, especially the world of ideas, as unreal or "merely ideal". What we add to objects by thinking is nothing more than thoughts about the things. Thought adds nothing real to the percept.
[15] But it is not only with reference to the existence of things that the naïve man regards sense perception as the sole proof of reality, but also with reference to events. A thing, according to him, can act on another only when a force actually present to sense perception issues from the one and seizes upon the other. In the older physics it was thought that very fine substances emanate from the objects and penetrate through the sense organs into the soul. The actual seeing of these substances is impossible only because of the coarseness of our sense organs relative to the fineness of these substances. In principle, the reason for attributing reality to these substances was the same as for attributing it to the objects of the sense-perceptible world, namely because of their mode of existence, which was thought to be analogous to that of sense-perceptible reality.
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Topic: Real principles in addition to ideal principles
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7-6) RATIONALISM (Taurus)
[16] The self-contained nature of what can be experienced through ideas is not regarded by the naïve mind as being real in the same way that sense experience is. An object grasped in "mere idea" is regarded as a chimera until conviction of its reality can be given through sense perception. In short, the naïve man demands the real evidence of his senses in addition to the ideal evidence of his thinking. In this need of the naïve man lies the original ground for primitive forms of the belief in revelation. The God who is given through thinking remains to the naïve mind always a merely "notional" God. The naïve mind demands a manifestation that is accessible to sense perception. God must appear in the flesh, and little value is attached to the testimony of thinking, but only to proof of divinity such as changing water into wine in a way that can be testified by the senses.
[17] Even cognition itself is pictured by the naïve man as a process analogous to sense perception. Things, it is thought, make an impression on the soul, or send out images which enter through our senses, and so on.
[18] What the naïve man can perceive with his senses he regards as real, and what he cannot thus perceive (God, soul, cognition, etc.) he regards as analogous to what he does perceive.
[19] A science based on naïve realism would have to be nothing but an exact description of the content of perception. For naïve realism, concepts are only the means to an end. They exist to provide ideal counterparts of percepts, and have no significance for the things themselves. For the naïve realist, only the individual tulips which he sees (or could see) are real; the single idea of the tulip is to him an abstraction, the unreal thought-picture which the soul has put together out of the characteristics common to all tulips.
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Topic: Real evidence of senses in addition to ideal evidence |

Very Fine Substance
I'm not certain about the distinction in these first two sections between Mathematism and Rationalism, but they both strike me as being obviously materialistic; “...the ideal principles which thinking discovers seem too airy for the dualist...” because naively speaking, only perceived things, the substance of perceived things, can act upon other things, even though this fine substance is imperceptible to our sense organs, they being too course to trap the fineness of this substance. Thinking is too insubstantial to be the real “glue” of things.
The naïve man is again unable to see even knowing itself as anything other than a materialistic phenomena, where the very fine substance of things makes an impression upon the soul. “They [concepts] exist to provide ideal counterparts of percepts, and have no significance for the things themselves.”
Gerald: mathematist and rationalist
The Mathematist and Rationalist in section 7-5 and 7-6 are working with ideal principles and ideal evidence which separates them from the materialist in this chapter who has only risen to the level of hypothetical assumptions.
But they both are located near materialism. In addition to the ideal they want real principles and evidence of the senses.
I think Steiner once called mathematism abstract materialism. While rationalism goes further than mathematism by being interested in a broader range of ideas found in the world. I would compare it to the field of a mathematician compared to the broader range of a lawyer whose evidence must be sense perceptible to back up his ideas about the case.
The mathematist in this section is interested in objects and events while the rationalist expands into God, cognition, and science.
Thanks
Thank you, Tom. This is very helpful to me.
End of existing study course
When I get the time I am going to finish posting the rest of Chapter 7 study pages and then end this study course. Because this course hasn't generated much interest I am going to try again with a new study course beginning with chapter 1.