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Medieval nominalism is the doctrine that universals and other abstract entities (like humanity and whiteness) don't exist at all -- even as mind-made entities.
The corresponding view in contemporary philosophy of mathematics is
{ 1 } - formalism -- which denies that abstract entities exist but keeps mathematics as a useful system of symbols that's literally meaningless (and makes no truth claims).
{ 2 } - logicism -- which uses bound variables (like "some") to refer to abstract entities (like numbers and sets) known and unknown, indiscriminately.
{ 3 } - intuitionism -- which uses bound variables (like "some") to refer only to abstract entities (like numbers and sets) that we have constructed in advance.
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1 is correct!
Medieval nominalism is the doctrine that universals and other abstract entities (like humanity and whiteness) don't exist at all -- even as mind-made entities.
The corresponding view in contemporary philosophy of mathematics is
{ 1 } - formalism -- which denies that abstract entities exist but keeps mathematics as a useful system of symbols that's literally meaningless (and makes no truth claims).
{ 2 } - logicism -- which uses bound variables (like "some") to refer to abstract entities (like numbers and sets) known and unknown, indiscriminately.
{ 3 } - intuitionism -- which uses bound variables (like "some") to refer only to abstract entities (like numbers and sets) that we have constructed in advance.
This view denies that abstract entities exist -- even as mind-made entities. There really are no such entities as numbers and sets.
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2 is wrong. Please try again.
Medieval nominalism is the doctrine that universals and other abstract entities (like humanity and whiteness) don't exist at all -- even as mind-made entities.
The corresponding view in contemporary philosophy of mathematics is
{ 1 } - formalism -- which denies that abstract entities exist but keeps mathematics as a useful system of symbols that's literally meaningless (and makes no truth claims).
{ 2 } - logicism -- which uses bound variables (like "some") to refer to abstract entities (like numbers and sets) known and unknown, indiscriminately.
{ 3 } - intuitionism -- which uses bound variables (like "some") to refer only to abstract entities (like numbers and sets) that we have constructed in advance.
This is closer to medieval realism.
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3 is wrong. Please try again.
Medieval nominalism is the doctrine that universals and other abstract entities (like humanity and whiteness) don't exist at all -- even as mind-made entities.
The corresponding view in contemporary philosophy of mathematics is
{ 1 } - formalism -- which denies that abstract entities exist but keeps mathematics as a useful system of symbols that's literally meaningless (and makes no truth claims).
{ 2 } - logicism -- which uses bound variables (like "some") to refer to abstract entities (like numbers and sets) known and unknown, indiscriminately.
{ 3 } - intuitionism -- which uses bound variables (like "some") to refer only to abstract entities (like numbers and sets) that we have constructed in advance.
This is closer to medieval conceptualism
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the end