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A properly reformulated theory of 'logical' objects should have separate principles: (1) one or more principles which assert the existence of logical objects, and (2) a separate identity principle which asserts the conditions under which logical objects are identical.
In the terminology introduced above, the rules for #x amount to a single-abstraction identity principle.
I x,x =1 L for each x∈L (identity principle).
Such an identity principle would then be more specific than the global identity principle for all objects (Leibniz's Law) which asserts that if objects x and y fall under the same concepts, they are identical.
And all that is important with a single-abstraction identity principle is whether the theory in question contains it as a theorem (or theorem-scheme).
Proof Differentiating both sides of (1.14) with respect to t, and using some elementary algebra and the identity principle of power series, recursion (2.2) easily follows.
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Reicher and his colleagues argued that those social identity principles determine how people will behave in deindividuated situations.
The knowledge of cultural self-awareness is to understand one's cultural identity, principles, and prejudices.
The important feature of single-abstraction identity principles of the kind on which we are focusing is that they are free of ontological commitment.
(It is not a problem specifically for logicism; it is a problem for abstraction principles of a specific form).[16] The problem can be avoided by using single-abstraction identity principles.
As we develop our self-awareness, not only can we express our own cultural identity, principles, and prejudices, but we can also start moving from enjoying our own perspective about that culture to being comfortable with a new perspective.
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