Logical Reasoning and Philosophical Methods
Quiz covering deductive, inductive, and analogical reasoning, syllogisms, and philosophical concepts of knowledge and truth
Questions
Which of the following is not a mathematical method?
- Induction
- Deduction
- Analogy
- Experimentation
What is the process of reasoning from a general statement to a specific conclusion called?
- Induction
- Deduction
- Analogy
- Syllogism
What is the process of reasoning from a specific example to a general conclusion called?
- Induction
- Deduction
- Analogy
- Syllogism
What is the process of reasoning from one specific example to another specific example called?
- Induction
- Deduction
- Analogy
- Syllogism
What is a logical argument that consists of two premises and a conclusion called?
- Induction
- Deduction
- Analogy
- Syllogism
Which of the following is an example of a valid syllogism?
- All men are mortal. Socrates is a man. Therefore, Socrates is mortal.
- All dogs are mammals. All mammals are animals. Therefore, all dogs are animals.
- Some birds can fly. All eagles are birds. Therefore, all eagles can fly.
- No cats are dogs. All dogs are animals. Therefore, no cats are animals.
Which of the following is an example of an invalid syllogism?
- All men are mortal. Socrates is a man. Therefore, Socrates is mortal.
- All dogs are mammals. All mammals are animals. Therefore, all dogs are animals.
- Some birds can fly. All eagles are birds. Therefore, all eagles can fly.
- No cats are dogs. All dogs are animals. Therefore, no cats are animals.
What is the difference between a deductive argument and an inductive argument?
- A deductive argument is based on evidence, while an inductive argument is based on logic.
- A deductive argument is based on logic, while an inductive argument is based on evidence.
- A deductive argument is based on a priori knowledge, while an inductive argument is based on a posteriori knowledge.
- A deductive argument is based on a posteriori knowledge, while an inductive argument is based on a priori knowledge.
What is the difference between a priori knowledge and a posteriori knowledge?
- A priori knowledge is knowledge that is gained through experience, while a posteriori knowledge is knowledge that is gained through reason.
- A priori knowledge is knowledge that is gained through reason, while a posteriori knowledge is knowledge that is gained through experience.
- A priori knowledge is knowledge that is true by definition, while a posteriori knowledge is knowledge that is true by experience.
- A posteriori knowledge is knowledge that is true by definition, while a priori knowledge is knowledge that is true by experience.
What is the difference between a necessary truth and a contingent truth?
- A necessary truth is a truth that is true in all possible worlds, while a contingent truth is a truth that is true in some possible worlds but not in others.
- A necessary truth is a truth that is true in some possible worlds but not in others, while a contingent truth is a truth that is true in all possible worlds.
- A necessary truth is a truth that is true by definition, while a contingent truth is a truth that is true by experience.
- A contingent truth is a truth that is true by definition, while a necessary truth is a truth that is true by experience.
What is the difference between a categorical statement and a hypothetical statement?
- A categorical statement is a statement that is either true or false, while a hypothetical statement is a statement that is either true or false depending on the truth of its antecedent.
- A categorical statement is a statement that is either true or false depending on the truth of its antecedent, while a hypothetical statement is a statement that is either true or false.
- A categorical statement is a statement that is true in all possible worlds, while a hypothetical statement is a statement that is true in some possible worlds but not in others.
- A hypothetical statement is a statement that is true in all possible worlds, while a categorical statement is a statement that is true in some possible worlds but not in others.
What is the difference between a deductive argument and an inductive argument?
- A deductive argument is a valid argument in which the conclusion follows logically from the premises, while an inductive argument is an invalid argument in which the conclusion does not follow logically from the premises.
- A deductive argument is an invalid argument in which the conclusion does not follow logically from the premises, while an inductive argument is a valid argument in which the conclusion follows logically from the premises.
- A deductive argument is a valid argument in which the conclusion is true if the premises are true, while an inductive argument is an invalid argument in which the conclusion is not necessarily true even if the premises are true.
- A deductive argument is an invalid argument in which the conclusion is not necessarily true even if the premises are true, while an inductive argument is a valid argument in which the conclusion is true if the premises are true.
What is the difference between a necessary truth and a contingent truth?
- A necessary truth is a truth that is true in all possible worlds, while a contingent truth is a truth that is true in some possible worlds but not in others.
- A necessary truth is a truth that is true in some possible worlds but not in others, while a contingent truth is a truth that is true in all possible worlds.
- A necessary truth is a truth that is true by definition, while a contingent truth is a truth that is true by experience.
- A contingent truth is a truth that is true by definition, while a necessary truth is a truth that is true by experience.
What is the difference between a categorical statement and a hypothetical statement?
- A categorical statement is a statement that is either true or false, while a hypothetical statement is a statement that is either true or false depending on the truth of its antecedent.
- A categorical statement is a statement that is either true or false depending on the truth of its antecedent, while a hypothetical statement is a statement that is either true or false.
- A categorical statement is a statement that is true in all possible worlds, while a hypothetical statement is a statement that is true in some possible worlds but not in others.
- A hypothetical statement is a statement that is true in all possible worlds, while a categorical statement is a statement that is true in some possible worlds but not in others.