Oscilloscope techniques by Alfred Haas

By Alfred Haas

Oscilloscope concepts

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That it is not empty. But if I express the same thought thus: "The concept square root of 4 is realized," then the first six words form the proper name of an object, and it is about this object that something is asserted. But notice carefully that what is asserted here is not the same thing as was asserted about the concept. This will be surprising only to somebody who fails to see that a thought can be split up in many ways, so that now one thing, now another, appears as subject or predicate. The thought itself does not yet determine what is to be regarded as the subject.

Let us fasten on this simile! If there were, or had been, beings that were fathers but could not be sons, such beings would obviously be quite different in kind from all men who are sons. Now it is something like this that happens here. The concept (as I understand the word) is predicative. 1 On the other hand, a name of an object, a proper name, is quite incapable of being used as a grammatical predicate. This admittedly needs elucidation, otherwise it might appear false. Surely one can just as well assert of a thing that it is Alexander the Great, or is the number four, or is the planet Venus, as that it is green or is a mammal?

To get out of this difficulty, the Philosophy of Universals must introduce the notion of "different orders" too. The word "universal," it has to say, stands for a second-order universal, whereas "green" or "cat" or "in" stand for first-order ones. This is equivalent to saying that the expression "a universal," or the propositional function " ϕ is a universal," can occur only in a metalanguage. " But according to the Philosophy of Resemblances, resemblance is not just one relation among others. Indeed, according to this philosophy, it would be misleading to call it "a relation" at all.

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