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Single Idea 18350
[filed under theme 4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula
]
Full Idea
There are good reasons for the truth-maker theorist to reject the converse Barcan formula.
Gist of Idea
Truth-maker theorists should probably reject the converse Barcan formula
Source
Adolph Rami (Introduction: Truth and Truth-Making [2009], note 16)
Book Ref
'Truth and Truth-Making', ed/tr. Lowe,E.J./Rami,A. [Acumen 2009], p.15
A Reaction
In the text (p.15) Rami cites the inference from 'necessarily everything exists' to 'everything exists necessarily'. [See Williamson 1999]
The
25 ideas
with the same theme
[formula relating possibility to existence]:
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16519
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No one can conceive of a possible substance, apart from those which God has created
[Arnauld]
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14976
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Reject the Barcan if quantifiers are confined to worlds, and different things exist in other worlds
[Cresswell]
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16189
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The variable domain approach to quantified modal logic invalidates the Barcan Formula
[Kripke, by Simchen]
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15132
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The Barcan formulas fail in models with varying domains
[Kripke, by Williamson]
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18823
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To say there could have been people who don't exist, but deny those possible things, rejects Barcan
[Stalnaker, by Rumfitt]
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15415
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The temporal Barcan formulas fix what exists, which seems absurd
[Burgess]
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13728
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The Barcan says nothing comes into existence; the Converse says nothing ceases; the pair imply stability
[Fitting/Mendelsohn]
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13729
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The Barcan corresponds to anti-monotonicity, and the Converse to monotonicity
[Fitting/Mendelsohn]
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15130
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If a property is possible, there is something which can have it
[Williamson]
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15135
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If the domain of propositional quantification is constant, the Barcan formulas hold
[Williamson]
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15139
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Converse Barcan: could something fail to meet a condition, if everything meets that condition?
[Williamson]
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13718
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The Barcan Formula ∀x□Fx→□∀xFx may be a defect in modal logic
[Sider]
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13720
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Converse Barcan Formula: □∀αφ→∀α□φ
[Sider]
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13723
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System B is needed to prove the Barcan Formula
[Sider]
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19297
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The two Barcan principles are easily proved in fairly basic modal logic
[Hale]
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19301
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With a negative free logic, we can dispense with the Barcan formulae
[Hale]
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15023
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The Barcan schema implies if X might have fathered something, there is something X might have fathered
[Sider]
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19208
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The Converse Barcan implies 'everything exists necessarily' is a consequence of 'necessarily, everything exists'
[Merricks]
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9449
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The plausible Barcan formula implies modality in the actual world
[Bird]
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18350
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Truth-maker theorists should probably reject the converse Barcan formula
[Rami]
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15380
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Barcan:nothing comes into existence; Converse:nothing goes out; Both:domain is unchanging
[Vervloesem]
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16186
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The Barcan Formulas express how to combine modal operators with classical quantifiers
[Simchen]
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16187
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The Barcan Formulas are orthodox, but clash with the attractive Actualist view
[Simchen]
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16190
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BF implies that if W possibly had a child, then something is possibly W's child
[Simchen]
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19036
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The Barcan formula endorses either merely possible things, or makes the unactualised impossible
[Vetter]
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