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http://users.ox.ac.uk/~ball0888 /lectures /logic
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Fantasy Logic League A weekly competition… …in the art of deduction
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Previously on THG…
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22 November, 1963 Nightmare on Elm Street
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Oswald Sentences [A] If Oswald didn’t shoot Kennedy, then somebody else did. [B] If Oswald doesn’t shoot Kennedy, then somebody else will. [C] If Oswald hadn’t shot Kennedy, then somebody else would have.
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The scientific study of: English Grammar
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Miss Ann Widdecombe
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Spinster of this parish…
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…and, indeed, of all the other parishes as well
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A woman of many parts…
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….clumsily assembled
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Truly, the face that ate a thousand chips.
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Miss Anne Widdecombe at the Conservative Party Conference
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A Counterblast English has NO infinitive English has NO moods – neither indicative nor subjunctive nor any other English has but TWO tenses – present and past
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Madness! Ignorance! Stupidity! Snobbery!
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Ambiguity
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We must have the worst JCR food in Oxford
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That dart might have landed in baby’s eye
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Sentence vs. Message
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Truth is not a property of Sentences
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Truth is a property of Messages
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Message determines Sentence
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If Oswald didn’t shoot Kennedy, then somebody else did
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April, 1985 A train from Paddington to Bodmin…
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The Adventure of….
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The curious incident of the dog in the night-time “Is there any point to which you would wish to draw my attention?” “To the curious incident of the dog in the night-time” “The dog did nothing in the night-time.” “That was the curious incident,” remarked Sherlock Holmes.
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The Mystery of…. Modus Ponens
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P If P, then Q So: Q
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Oswald didn’t shoot Kennedy… And if Oswald didn’t shoot Kennedy… …then somebody else did. So: Somebody else did.
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April, 1985 Oxford
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The Reverend Charles Lutwidge Dodgson
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Lewis Carroll
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"What the Tortoise Said to Achilles," Mind 4, No. 14 (April 1895): 278-280.
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Zeno of Elea
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A Farewell to Arms
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Zeno of Elea
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Achilles and the Tortoise
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[A] Someone shot Kennedy [B] Oswald didn’t So [Z] Somebody else did
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[A] Someone shot Kennedy [B] Oswald didn’t [C] If A and B, then Z [D] If A and B and C, then Z [E] If A and B and C and D, then Z [F] If A and ……oh, forget it!
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Words/Sentences Ideas/Messages Logic
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Words
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Although it was very hot, Her Majesty wore a cardiganAlthough Because it was very hot, Her Majesty stripped offBecause Since there are no trees in Orkney, it is a desolate placeSince Unless I have made a mistake, the answer is 42Unless Whether or not you like them, carrots are good for youWhether or not
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Despite the fact that Mike Tyson is a convicted rapist, this government let him in Even if Grannie was gunned down this morning, she’s chirpy enough nowEven if If Oswald didn’t shoot Kennedy, somebody else didIf
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Compound Sentences Compounded out of prior sentences
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AlthoughAlthough it was very hot, Her Majesty wore a cardigan BecauseBecause it was very hot, Her Majesty stripped off SinceSince there are no trees in Orkney, it is a desolate place UnlessUnless I have made a mistake, the answer is 42 Whether or notWhether or not you like them, carrots are good for you
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Although it was very hot, Her Majesty wore a cardigan BecauseBecause it was very hot, Her Majesty stripped off SinceSince there are no trees in Orkney, it is a desolate place UnlessUnless I have made a mistake, the answer is 42 Whether or notWhether or not you like them, carrots are good for you
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Although it was very hot, Her Majesty wore a cardigan Because it was very hot, Her Majesty stripped off SinceSince there are no trees in Orkney, it is a desolate place UnlessUnless I have made a mistake, the answer is 42 Whether or notWhether or not you like them, carrots are good for you
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Although it was very hot, Her Majesty wore a cardigan Because it was very hot, Her Majesty stripped off Since there are no trees in Orkney, it is a desolate place UnlessUnless I have made a mistake, the answer is 42 Whether or notWhether or not you like them, carrots are good for you
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Although it was very hot, Her Majesty wore a cardigan Because it was very hot, Her Majesty stripped off Since there are no trees in Orkney, it is a desolate place Unless I have made a mistake, the answer is 42 Whether or notWhether or not you like them, carrots are good for you
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Although it was very hot, Her Majesty wore a cardigan Because it was very hot, Her Majesty stripped off Since there are no trees in Orkney, it is a desolate place Unless I have made a mistake, the answer is 42 Whether or not you like them, carrots are good for you
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The Independent Sentence
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AlthoughAlthough it was very hot, Her Majesty wore a cardigan BecauseBecause it was very hot, Her Majesty stripped off SinceSince there are no trees in Orkney, it is a desolate place UnlessUnless I have made a mistake, the answer is 42 Whether or notWhether or not you like them, carrots are good for you
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AlthoughAlthough it was very hot, Her Majesty wore a cardigan BecauseBecause it was very hot, Her Majesty stripped off SinceSince there are no trees in Orkney, it is a desolate place UnlessUnless I have made a mistake, the answer is 42 Whether or notWhether or not you like them, carrots are good for you
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AlthoughAlthough it was very hot, Her Majesty wore a cardigan BecauseBecause it was very hot, Her Majesty stripped off SinceSince there are no trees in Orkney, it is a desolate place UnlessUnless I have made a mistake, the answer is 42 Whether or notWhether or not you like them, carrots are good for you
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AlthoughAlthough it was very hot, Her Majesty wore a cardigan BecauseBecause it was very hot, Her Majesty stripped off SinceSince there are no trees in Orkney, it is a desolate place UnlessUnless I have made a mistake, the answer is 42 Whether or notWhether or not you like them, carrots are good for you
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AlthoughAlthough it was very hot, Her Majesty wore a cardigan BecauseBecause it was very hot, Her Majesty stripped off SinceSince there are no trees in Orkney, it is a desolate place UnlessUnless I have made a mistake, the answer is 42 Whether or notWhether or not you like them, carrots are good for you
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AlthoughAlthough it was very hot, Her Majesty wore a cardigan BecauseBecause it was very hot, Her Majesty stripped off SinceSince there are no trees in Orkney, it is a desolate place UnlessUnless I have made a mistake, the answer is 42 Whether or notWhether or not you like them, carrots are good for you
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The Subsidiary String
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AlthoughAlthough it was very hot, Her Majesty wore a cardigan BecauseBecause it was very hot, Her Majesty stripped off SinceSince there are no trees in Orkney, it is a desolate place UnlessUnless I have made a mistake, the answer is 42 Whether or notWhether or not you like them, carrots are good for you
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Although it was very hot, Her Majesty wore a cardigan BecauseBecause it was very hot, Her Majesty stripped off SinceSince there are no trees in Orkney, it is a desolate place UnlessUnless I have made a mistake, the answer is 42 Whether or notWhether or not you like them, carrots are good for you
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Although it was very hot, Her Majesty wore a cardigan Because it was very hot, Her Majesty stripped off SinceSince there are no trees in Orkney, it is a desolate place UnlessUnless I have made a mistake, the answer is 42 Whether or notWhether or not you like them, carrots are good for you
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Although it was very hot, Her Majesty wore a cardigan Because it was very hot, Her Majesty stripped off Since there are no trees in Orkney, it is a desolate place UnlessUnless I have made a mistake, the answer is 42 Whether or notWhether or not you like them, carrots are good for you
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Although it was very hot, Her Majesty wore a cardigan Because it was very hot, Her Majesty stripped off Since there are no trees in Orkney, it is a desolate place Unless I have made a mistake, the answer is 42 Whether or notWhether or not you like them, carrots are good for you
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Although it was very hot, Her Majesty wore a cardigan Because it was very hot, Her Majesty stripped off Since there are no trees in Orkney, it is a desolate place Unless I have made a mistake, the answer is 42 Whether or not you like them, carrots are good for you
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A Subordinating Conjunction prefixed to The Dependent Sentence
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Although it was very hot, Her Majesty wore a cardiganAlthough Her Majesty wore a cardigan, although it was very hot.although Her Majesty - although it was very hot -wore a cardiganalthough Her Majesty wore - although it was very hot - a cardiganalthough
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Although Her Majesty wore a cardigan, it was very hot
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Ideas
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AlthoughAlthough it was very hot, Her Majesty wore a cardigan BecauseBecause it was very hot, Her Majesty stripped off SinceSince there are no trees in Orkney, it is a desolate place UnlessUnless I have made a mistake, the answer is 42 Whether or notWhether or not you like them, carrots are good for you
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Compound Messages Compounded out of prior messages
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Independent message: m i Dependent message: m d Status modifier: * Compound message: m c
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m c : m d *, m i
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Ambiguity
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(In those days) Her Majesty wore a cardigan (Yesterday) Her Majesty wore a cardigan
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(In those days) Her Majesty wore a cardigan (Yesterday) Her Majesty wore a cardigan
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(In those days) Her Majesty wore a cardigan (Yesterday) Her Majesty wore a cardigan
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m c : m d *, m i
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AlthoughAlthough it was very hot, Her Majesty wore a cardigan BecauseBecause it was very hot, Her Majesty stripped off SinceSince there are no trees in Orkney, it is a desolate place UnlessUnless I have made a mistake, the answer is 42 Whether or notWhether or not you like them, carrots are good for you
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Despite the fact that Mike Tyson is a convicted rapist, this government let him in Even if Grannie was gunned down this morning, she’s chirpy enough nowEven if If Oswald didn’t shoot Kennedy, somebody else didIf
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Selection of ‘if’ grants accords the dependent message the status of an hypothesis
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Which means: It is being treated as true… …whether or not it really is.
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? Structure Truth Affirmation
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m c : m d *, m i
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Compound Messages cannot be True (or False)
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AlthoughAlthough it was very hot, Her Majesty wore a cardigan BecauseBecause it was very hot, Her Majesty stripped off SinceSince there are no trees in Orkney, it is a desolate place UnlessUnless I have made a mistake, the answer is 42 Whether or notWhether or not you like them, carrots are good for you
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Despite the fact that Mike Tyson is a convicted rapist, this government let him in Even if Grannie was gunned down this morning, she’s chirpy enough nowEven if If Oswald didn’t shoot Kennedy, somebody else didIf
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m c : m d *, m i
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The Independent message is affirmed outright, unless there is rational reason to think otherwise
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Although it was very hot, Her Majesty wore a cardiganAlthough Because it was very hot, Her Majesty stripped offBecause Since there are no trees in Orkney, it is a desolate placeSince Unless I have made a mistake, the answer is 42Unless Whether or not you like them, carrots are good for youWhether or not
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Despite the fact that Mike Tyson is a convicted rapist, this government let him in Even if Grannie was gunned down this morning, she’s chirpy enough nowEven if If Oswald didn’t shoot Kennedy, somebody else didIf
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Logic
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October 1928 The 20 th Century Limited
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Waistcoat by Sally Bayley
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THE END
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