Locke on judgment

In Lex Newman (ed.), The Cambridge Companion to Locke's "Essay Concerning Human Understanding". Cambridge University Press (2007)
Locke usually uses the term “judgment” in a rather narrow but not unusual sense, as referring to the faculty that produces probable opinion or assent.2 His account is explicitly developed in analogy with knowledge, and like knowledge, it is developed in terms of the relation various ideas bear to one another. Whereas knowledge is the perception of the agreement or disagreement of any of our ideas, judgment is the presumption of their agreement or disagreement. Intuitive knowledge is the immediate perception of the agreement or disagreement of two ideas, e.g., white is not black. If we perceive the idea of white, and the idea of black, nothing more is needed to perceive that white and black disagree with respect to identity. We just see or intuit it. Demonstrative knowledge is more complicated. Suppose we have or perceive the idea of the internal angles of a triangle, and also the idea of two right angles. Unless one is a prodigy, we can’t just “see” that these two ideas agree with respect to equality; we require a demonstration. For Locke, such a demonstration requires that we find another idea, such as 180 degrees, so that we can intuit that this idea stands in the relation of equality both to the internal angles of a triangle, and to two right angles. Thus a demonstration, for Locke, is a chain of ideas
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