Properties and Relations
| Description: Properties and Relations Quiz | |
| Number of Questions: 14 | |
| Created by: Aliensbrain Bot | |
| Tags: properties relations analytic philosophy |
Which of the following is NOT a property of an object?
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Color
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Shape
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Size
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Existence
Existence is not a property of an object, but rather a state of being.
What is the difference between a property and a relation?
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Properties are intrinsic to an object, while relations are extrinsic.
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Properties are universal, while relations are particular.
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Properties are necessary, while relations are contingent.
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All of the above.
All of the above are true. Properties are intrinsic to an object, meaning they are not dependent on anything else. Relations are extrinsic, meaning they are dependent on other objects. Properties are universal, meaning they apply to all objects of a certain kind. Relations are particular, meaning they only apply to specific objects.
What is the most basic type of relation?
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Identity
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Difference
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Causation
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Similarity
Identity is the most basic type of relation because it is the relation that an object has to itself. All other relations are based on identity.
What is the difference between a symmetrical relation and an asymmetrical relation?
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A symmetrical relation is one in which the order of the objects does not matter, while an asymmetrical relation is one in which the order of the objects does matter.
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A symmetrical relation is one in which the relation holds between two objects if and only if it holds between the objects in the opposite order, while an asymmetrical relation is one in which the relation holds between two objects if and only if it does not hold between the objects in the opposite order.
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A symmetrical relation is one in which the relation holds between two objects if and only if it holds between the objects in the opposite order and the converse, while an asymmetrical relation is one in which the relation holds between two objects if and only if it does not hold between the objects in the opposite order and the converse.
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All of the above.
All of the above are true. A symmetrical relation is one in which the order of the objects does not matter. An asymmetrical relation is one in which the order of the objects does matter. A symmetrical relation is one in which the relation holds between two objects if and only if it holds between the objects in the opposite order. An asymmetrical relation is one in which the relation holds between two objects if and only if it does not hold between the objects in the opposite order.
What is the difference between a transitive relation and an intransitive relation?
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A transitive relation is one in which the relation holds between two objects if and only if it holds between the first object and a third object and between the third object and the second object, while an intransitive relation is one in which the relation holds between two objects if and only if it does not hold between the first object and a third object and between the third object and the second object.
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A transitive relation is one in which the relation holds between two objects if and only if it holds between the first object and a third object and between the third object and the second object, while an intransitive relation is one in which the relation holds between two objects if and only if it does not hold between the first object and a third object and between the third object and the second object.
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A transitive relation is one in which the relation holds between two objects if and only if it holds between the first object and a third object and between the third object and the second object, while an intransitive relation is one in which the relation holds between two objects if and only if it does not hold between the first object and a third object and between the third object and the second object and the converse.
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All of the above.
All of the above are true. A transitive relation is one in which the relation holds between two objects if and only if it holds between the first object and a third object and between the third object and the second object. An intransitive relation is one in which the relation holds between two objects if and only if it does not hold between the first object and a third object and between the third object and the second object.
What is the difference between a reflexive relation and an irreflexive relation?
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A reflexive relation is one in which the relation holds between an object and itself, while an irreflexive relation is one in which the relation does not hold between an object and itself.
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A reflexive relation is one in which the relation holds between an object and itself if and only if it holds between the object and a third object, while an irreflexive relation is one in which the relation holds between an object and itself if and only if it does not hold between the object and a third object.
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A reflexive relation is one in which the relation holds between an object and itself if and only if it holds between the object and a third object and the converse, while an irreflexive relation is one in which the relation holds between an object and itself if and only if it does not hold between the object and a third object and the converse.
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All of the above.
All of the above are true. A reflexive relation is one in which the relation holds between an object and itself. An irreflexive relation is one in which the relation does not hold between an object and itself.
What is the difference between a connected relation and a disconnected relation?
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A connected relation is one in which there is a path between every two objects in the relation, while a disconnected relation is one in which there is not a path between every two objects in the relation.
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A connected relation is one in which there is a path between every two objects in the relation if and only if there is a path between the first object and a third object and between the third object and the second object, while a disconnected relation is one in which there is not a path between every two objects in the relation if and only if there is not a path between the first object and a third object and between the third object and the second object.
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A connected relation is one in which there is a path between every two objects in the relation if and only if there is a path between the first object and a third object and between the third object and the second object and the converse, while a disconnected relation is one in which there is not a path between every two objects in the relation if and only if there is not a path between the first object and a third object and between the third object and the second object and the converse.
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All of the above.
All of the above are true. A connected relation is one in which there is a path between every two objects in the relation. A disconnected relation is one in which there is not a path between every two objects in the relation.
What is the difference between a dense relation and a sparse relation?
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A dense relation is one in which there is a point between every two points in the relation, while a sparse relation is one in which there is not a point between every two points in the relation.
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A dense relation is one in which there is a point between every two points in the relation if and only if there is a point between the first point and a third point and between the third point and the second point, while a sparse relation is one in which there is not a point between every two points in the relation if and only if there is not a point between the first point and a third point and between the third point and the second point.
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A dense relation is one in which there is a point between every two points in the relation if and only if there is a point between the first point and a third point and between the third point and the second point and the converse, while a sparse relation is one in which there is not a point between every two points in the relation if and only if there is not a point between the first point and a third point and between the third point and the second point and the converse.
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All of the above.
All of the above are true. A dense relation is one in which there is a point between every two points in the relation. A sparse relation is one in which there is not a point between every two points in the relation.
What is the difference between a well-founded relation and an ill-founded relation?
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A well-founded relation is one in which there is no infinite descending chain of objects, while an ill-founded relation is one in which there is an infinite descending chain of objects.
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A well-founded relation is one in which there is no infinite descending chain of objects if and only if there is a point between every two points in the relation, while an ill-founded relation is one in which there is an infinite descending chain of objects if and only if there is not a point between every two points in the relation.
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A well-founded relation is one in which there is no infinite descending chain of objects if and only if there is a point between every two points in the relation and the converse, while an ill-founded relation is one in which there is an infinite descending chain of objects if and only if there is not a point between every two points in the relation and the converse.
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All of the above.
All of the above are true. A well-founded relation is one in which there is no infinite descending chain of objects. An ill-founded relation is one in which there is an infinite descending chain of objects.
What is the difference between a total relation and a partial relation?
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A total relation is one in which every object in the domain is related to every object in the range, while a partial relation is one in which not every object in the domain is related to every object in the range.
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A total relation is one in which every object in the domain is related to every object in the range if and only if there is a point between every two points in the relation, while a partial relation is one in which not every object in the domain is related to every object in the range if and only if there is not a point between every two points in the relation.
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A total relation is one in which every object in the domain is related to every object in the range if and only if there is a point between every two points in the relation and the converse, while a partial relation is one in which not every object in the domain is related to every object in the range if and only if there is not a point between every two points in the relation and the converse.
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All of the above.
All of the above are true. A total relation is one in which every object in the domain is related to every object in the range. A partial relation is one in which not every object in the domain is related to every object in the range.
What is the difference between a one-to-one relation and a many-to-one relation?
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A one-to-one relation is one in which each object in the domain is related to exactly one object in the range, while a many-to-one relation is one in which each object in the domain is related to more than one object in the range.
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A one-to-one relation is one in which each object in the domain is related to exactly one object in the range if and only if there is a point between every two points in the relation, while a many-to-one relation is one in which each object in the domain is related to more than one object in the range if and only if there is not a point between every two points in the relation.
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A one-to-one relation is one in which each object in the domain is related to exactly one object in the range if and only if there is a point between every two points in the relation and the converse, while a many-to-one relation is one in which each object in the domain is related to more than one object in the range if and only if there is not a point between every two points in the relation and the converse.
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All of the above.
All of the above are true. A one-to-one relation is one in which each object in the domain is related to exactly one object in the range. A many-to-one relation is one in which each object in the domain is related to more than one object in the range.
What is the difference between a one-to-many relation and a many-to-many relation?
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A one-to-many relation is one in which each object in the domain is related to exactly one object in the range, while a many-to-many relation is one in which each object in the domain is related to more than one object in the range.
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A one-to-many relation is one in which each object in the domain is related to exactly one object in the range if and only if there is a point between every two points in the relation, while a many-to-many relation is one in which each object in the domain is related to more than one object in the range if and only if there is not a point between every two points in the relation.
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A one-to-many relation is one in which each object in the domain is related to exactly one object in the range if and only if there is a point between every two points in the relation and the converse, while a many-to-many relation is one in which each object in the domain is related to more than one object in the range if and only if there is not a point between every two points in the relation and the converse.
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All of the above.
All of the above are true. A one-to-many relation is one in which each object in the domain is related to exactly one object in the range. A many-to-many relation is one in which each object in the domain is related to more than one object in the range.
What is the difference between a function and a relation?
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A function is a relation that is one-to-one and onto, while a relation is a set of ordered pairs.
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A function is a relation that is one-to-one and onto if and only if there is a point between every two points in the relation, while a relation is a set of ordered pairs if and only if there is not a point between every two points in the relation.
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A function is a relation that is one-to-one and onto if and only if there is a point between every two points in the relation and the converse, while a relation is a set of ordered pairs if and only if there is not a point between every two points in the relation and the converse.
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All of the above.
All of the above are true. A function is a relation that is one-to-one and onto. A relation is a set of ordered pairs.
What is the difference between an equivalence relation and a partial order relation?
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An equivalence relation is a relation that is reflexive, symmetric, and transitive, while a partial order relation is a relation that is reflexive, antisymmetric, and transitive.
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An equivalence relation is a relation that is reflexive, symmetric, and transitive if and only if there is a point between every two points in the relation, while a partial order relation is a relation that is reflexive, antisymmetric, and transitive if and only if there is not a point between every two points in the relation.
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An equivalence relation is a relation that is reflexive, symmetric, and transitive if and only if there is a point between every two points in the relation and the converse, while a partial order relation is a relation that is reflexive, antisymmetric, and transitive if and only if there is not a point between every two points in the relation and the converse.
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All of the above.
All of the above are true. An equivalence relation is a relation that is reflexive, symmetric, and transitive. A partial order relation is a relation that is reflexive, antisymmetric, and transitive.