The dearer the jewel, the greater the love expressed.

Sure you take mee not to be made of flesh, or if so, yet not to be sensible that thinke me able to beare these burthens without bemoning my selfe.

Then the following are equivalent: 1) For all high-enough 𝜆, there exists 𝜅<𝜆 such that there is a good 𝜆-frame on the class of 𝜅-saturated models in K_𝜆. 2) For all high-enough 𝜆, K has a unique limit model of cardinality 𝜆. 3) For all high-enough 𝜆, K has a superlimit model of cardinality 𝜆. 4) For all high-enough 𝜆, the union of a chain of 𝜆-saturated models is 𝜆-saturated. 5) There exists 𝜃 such that for all high-enough 𝜆, K is (𝜆,𝜃)-solvable..

It’s not true that I’m always thinking of H. Work and conversation make that impossible. But the times when I’m not are perhaps my worst. For then, though I have forgotten the reason, there is spread over everything a vague sense of wrongness, of something amiss.