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Single Idea 18822
[filed under theme 10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
]
Full Idea
Leibniz argued that each monad mirrors or expresses every monad with which it is compossible. Hence compossibility is an equivalence relation among monads; possible worlds may then be identified as the corresponding equivalence classes.
Gist of Idea
Each monad expresses all its compatible monads; a possible world is the resulting equivalence class
Source
report of Gottfried Leibniz (works [1690]) by Ian Rumfitt - The Boundary Stones of Thought 6.1
Book Ref
Rumfitt,Ian: 'The Boundary Stones of Thought' [OUP 2015], p.154
A Reaction
[Rumfitt cites Benson Mates 1986:IV.1 for this claim] There is an analogous world of all the human minds that are in communication with one another - something like a 'culture'.
The
32 ideas
with the same theme
[existence of non-actual possible worlds]:
19402
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The actual universe is the richest composite of what is possible
[Leibniz]
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19434
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There may be a world where dogs smell their game at a thousand leagues
[Leibniz]
|
15883
|
Leibniz narrows down God's options to one, by non-contradiction, sufficient reason, indiscernibles, compossibility
[Leibniz, by Harré]
|
18822
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Each monad expresses all its compatible monads; a possible world is the resulting equivalence class
[Leibniz, by Rumfitt]
|
7837
|
Leibniz proposed possible worlds, because they might be evil, where God would not create evil things
[Leibniz, by Stewart,M]
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14460
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If something is true in all possible worlds then it is logically necessary
[Russell]
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5400
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In any possible world we feel that two and two would be four
[Russell]
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23470
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Each thing is in a space of possible facts
[Wittgenstein]
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11183
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The use of possible worlds is to sort properties (not to individuate objects)
[Marcus (Barcan)]
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16957
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Possible worlds aren't how the world might be, but how a world might be, given some possibility
[Dummett]
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14662
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Possible worlds clarify possibility, propositions, properties, sets, counterfacts, time, determinism etc.
[Plantinga]
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4943
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Instead of talking about possible worlds, we can always say "It is possible that.."
[Kripke]
|
11984
|
Asserting a possible property is to say it would have had the property if that world had been actual
[Plantinga]
|
4899
|
Possible worlds thinking has clarified the logic of modality, but is problematic in epistemology
[Perry]
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16429
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A 'centred' world is an ordered triple of world, individual and time
[Stalnaker]
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16398
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Possible worlds allow discussion of modality without controversial modal auxiliaries
[Stalnaker]
|
16397
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If it might be true, it might be true in particular ways, and possible worlds describe such ways
[Stalnaker]
|
16399
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Possible worlds are ontologically neutral, but a commitment to possibilities remains
[Stalnaker]
|
9669
|
There are no free-floating possibilia; they have mates in a world, giving them extrinsic properties
[Lewis]
|
7691
|
The actual world is a consistent combination of states, made of consistent property combinations
[Jacquette]
|
10266
|
Why does the 'myth' of possible worlds produce correct modal logic?
[Shapiro]
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4207
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We might eliminate 'possible' and 'necessary' in favour of quantification over possible worlds
[Lowe]
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19279
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What are these worlds, that being true in all of them makes something necessary?
[Hale]
|
10983
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Knowledge of possible worlds is not causal, but is an ontology entailed by semantics
[Read]
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7792
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A world has 'access' to a world it generates, which is important in possible worlds semantics
[Girle]
|
5734
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Possible worlds make it possible to define necessity and counterfactuals without new primitives
[Melia]
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5742
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In possible worlds semantics the modal operators are treated as quantifiers
[Melia]
|
5743
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If possible worlds semantics is not realist about possible worlds, logic becomes merely formal
[Melia]
|
5749
|
Possible worlds could be real as mathematics, propositions, properties, or like books
[Melia]
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18745
|
A Tarskian model can be seen as a possible state of affairs
[Horsten/Pettigrew]
|
18747
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The 'spheres model' was added to possible worlds, to cope with counterfactuals
[Horsten/Pettigrew]
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17956
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Closeness of worlds should be determined by the intrinsic nature of relevant objects
[Vetter]
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