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According to the later Wittgenstein, we can define "game" as what

    { 1 } - is competitive.
    { 2 } - is done mainly for amusement.
    { 3 } - combines skill and luck.
    { 4 } - has all three of these characteristics.
    { 5 } - -- None of these definitions work.

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1 is wrong. Please try again.

According to the later Wittgenstein, we can define "game" as what

Solitary is a game, but isn't competitive.

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2 is wrong. Please try again.

According to the later Wittgenstein, we can define "game" as what

    { 1 } - is competitive.
    { 2 } - is done mainly for amusement.
    { 3 } - combines skill and luck.
    { 4 } - has all three of these characteristics.
    { 5 } - -- None of these definitions work.

Some professional sports are done mainly for money.

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3 is wrong. Please try again.

According to the later Wittgenstein, we can define "game" as what

    { 1 } - is competitive.
    { 2 } - is done mainly for amusement.
    { 3 } - combines skill and luck.
    { 4 } - has all three of these characteristics.
    { 5 } - -- None of these definitions work.

Dice is all luck, chess is all skill.

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4 is wrong. Please try again.

According to the later Wittgenstein, we can define "game" as what

    { 1 } - is competitive.
    { 2 } - is done mainly for amusement.
    { 3 } - combines skill and luck.
    { 4 } - has all three of these characteristics.
    { 5 } - -- None of these definitions work.

Some games lack one or another of these characteristics. For example, solitary isn't competitive, dice is all luck, chess is all skill, and professional sports are sometimes done mainly for money. So we can't define "game" in strict terms -- but only in terms of looser "family resemblances" that tend to characterize games.

The Tractatus distinguished between simple terms (which presumably relate directly to experience) and complex ones (which are strictly definable using simple terms). Wittgenstein now sees that many terms, like "game," fit in neither category.

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5 is correct!

According to the later Wittgenstein, we can define "game" as what

    { 1 } - is competitive.
    { 2 } - is done mainly for amusement.
    { 3 } - combines skill and luck.
    { 4 } - has all three of these characteristics.
    { 5 } - -- None of these definitions work.

Some games lack one or another of these characteristics. For example, solitary isn't competitive, dice is all luck, chess is all skill, and professional sports are sometimes done mainly for money. So we can't define "game" in strict terms -- but only in terms of looser "family resemblances" that tend to characterize games.

The Tractatus distinguished between simple terms (which presumably relate directly to experience) and complex ones (which are strictly definable using simple terms). Wittgenstein now sees that many terms, like "game," fit in neither category.

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