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Entities and Indices by M.J. Cresswell

By M.J. Cresswell

In traditional discourse we seem to ta1k approximately many stuff that experience appeared mysterious to philosophers. we are saying that there was a hitch in our preparations or that the answer to the matter required us to envision the entire possible results of our motion. So it can appear that we communicate as though as well as eloeks, mountains, queens and grains of sand there are hitches, preparations, suggestions, probiems, and possible results. it's not instantly visible once we needs to take such ta1k as rather assuming that there are such to boost exams for issues, and one of many initiatives during this booklet is discerning what has eome to be known as ontological dedication, in naturallanguage. one of the entities that average language appears to be like to make connection with are these hooked up with temporal and modal discourse, instances, percentages, etc. Such entities play a crueial position within the type of semantieal theories that I and others have defended over a long time. those theories are according to the concept a necessary a part of the that means of a sentence is constituted via the stipulations lower than whieh that sentenee is right. to understand what a sentence says is to grasp what the area must be !ike for that sentence to be true.

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Example text

D will be based on an accessibility relation (call it D-accessibility) which does not mean 'possible relative to' (as does the accessibility relation for M) but means 'desirable relative to'. e. in all the D-accessible worlds. If W 2 is D-accessible from W to then whatever is desired in W t is true in W 2• I am not concemed with whether this is a good account of desirability. It will suffiee for now. (21) w, E V(D)(a) iff accessible from W2 E a for every w2 which is D- W t• In a double-indexed semantics we would have for every w 3 which is D-accessible from W t , and in the tripleindexed semantics required by (20) we have (23) (W 1'W2'W3) E V(D)(a) iff D-accessible from (W4'W2'W3) a for every w4 Wt In other words the meaning of D, lik:e that of all 'ordinary' operators, depends only on the fust index.

We may still speak of an interpretation

And actually, where a is now aset of world sequences: (38) cr e V(actuallYn)(a) iff cr[n/O] e a, where cr[n/O] is exactly like cr except that cr[n/O](O) = cr(n). n)(a) iff cr[O/n] e a, where cr[O/n] is exactly like cr except that cr[O/n](n) = cr(O). If the examples discussed in this chapter are all reinterpreted in accordance with (38) and (39) and with actually as actuallY2 and then as actuallYt> the semanties remain unchanged in the sense that the extra world s in each sequence are simply carried along as unchanging parameters.

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