Crossword-Solution: AMC 3 letters, 249 clues 🏆 scrabble score: 7

But since M is the reflecting surface and the angle of incidence equals the angle of reflection, the angle AMC is an angle of one-half of one hundred and sixty-one degrees, or eighty degrees and thirty minutes.

Now this angle AMC, being known, the right-angled triangle MAC is easily resolved, since the side AC of that triangle, being the radius of the earth, is a known dimension.

The solution to Arrow’s difficulty in social choice 159 Introduction 159 Basic concepts 162 Restatement of Arrow’s Theorem 165 A note on the name of APDM 167 A lemma 167 Rejection of the Arrow Moral Claim (AMC) 168 Rejection of the Arrow Reasonableness Claim (ARC) 168 Selection of the culprit axiom.

For clarity it is useful to introduce the following abbreviations for the theorem and its companion claims, and their conjunction: _AT _ = the Arrow Theorem _ARC_ = the Arrow Reasonableness Claim = the properties are _reasonable_ _AMC_ = the Arrow Moral Claim = that they are _to be imposed_ _ AGV _= the Arrow General View = _AT & ARC & AMC_ Note that Arrow’s phrasing on _ARC_ and _AMC_ is a bit ambiguous.

Define: _Ap _(_~p _ _ p_)_ _means that _p _is allowed (at least as good as _~p_) _ Op _(_~p < p_) means that _p _is a moral obligation (one ought to _p_) An exemplaric deontic result is: _ Op ~(A(~p))_ Deontic logic allow us to translate: _ AMC = Oa_ The use of deontic logic allows a forceful restatement of Arrow’s difficulty in social choice: _Oa & ~a_ Let us consider some more properties of morality and deontic logic.