II.—THE CARDINAL PRINCIPLE OF IDEALISM

Iithe Interpretation of Political Discourses

Combinatorial Principle in the Core Model for one Woodin Cardinal

We study the fine structure of the core model for one Woodin cardinal, building of the work of Mitchell and Steel on inner models of the form L[B]. We generalize to L[E] some combinatorial principles that were shown by Jensen to hold in L. We show that L[E] satisfies the statement: “or holds whenever K < the least measurable cardinal I of 13 order I,++“. We introduce a hierarchy of combinatoria...

Approximate number word knowledge before the cardinal principle.

Approximate number word knowledge-understanding the relation between the count words and the approximate magnitudes of sets-is a critical piece of knowledge that predicts later math achievement. However, researchers disagree about when children first show evidence of approximate number word knowledge-before, or only after, they have learned the cardinal principle. In two studies, children who h...

Causal Refutations of Idealism

In the ‘Refutation of Idealism’ chapter of the first ‘Critique’, Kant argues that the conditions required for having certain kinds of mental episodes are sufficient to guarantee that there are ‘objects in space’ outside us. A perennially influential way of reading this compressed argument is as a kind of causal inference: in order for us to make justified judgements about the order of our inner...

The Refutation of Idealism

Modern Idealism, if it asserts any general conclusion about the universe at all, asserts that it is spiritual. There are two points about this assertion to which I wish to call attention. These points are that, whatever be its exact meaning, it is certainly meant to assert (1) that the universe is very different indeed from what it seems, and (2) that it has quite a large number of properties w...