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social science
introduction to logic
Questions and Answers of
Introduction To Logic
In each of the following passages,a. What data are to be explained?b. What hypotheses are proposed to explain them?c. Evaluate the hypotheses in terms of the criteria presented in Section 13.3, pp.
In each of the following passages,a. What data are to be explained?b. What hypotheses are proposed to explain them?c. Evaluate the hypotheses in terms of the criteria presented in Section 13.3, pp.
In each of the following passages,a. What data are to be explained?b. What hypotheses are proposed to explain them?c. Evaluate the hypotheses in terms of the criteria presented in Section 13.3, pp.
In each of the following passages,a. What data are to be explained?b. What hypotheses are proposed to explain them?c. Evaluate the hypotheses in terms of the criteria presented in Section 13.3, pp.
In each of the following passages,a. What data are to be explained?b. What hypotheses are proposed to explain them?c. Evaluate the hypotheses in terms of the criteria presented in Section 13.3, pp.
In each of the following passages,a. What data are to be explained?b. What hypotheses are proposed to explain them?c. Evaluate the hypotheses in terms of the criteria presented in Section 13.3, pp.
The data to be explained here are the reports of the mapping of radiation in the entire cosmos. Two conflicting theories about the size and shape of the universe are offered to account for the
In each of the following passages,a. What data are to be explained?b. What hypotheses are proposed to explain them?c. Evaluate the hypotheses in terms of the criteria presented in Section 13.3, pp.
Some of the following passages contain explanations, some contain arguments, and some may be interpreted as either an argumaent or an explanation. What is your judgment about the chief function of
Hundreds of thousands of recent college graduates today cannot express themselves with the written word. Why? Because universities have shortchanged them, offering strange literary theories, Marxism,
What is the probability of getting tails every time in three tosses of a coin?
Diagram each of the following passages, which may contain more than one argument.At any cost we must have filters on our Ypsilanti Township library computers. Pornography is a scourge on society at
A. Identify three disagreements in current political or social controversy that are of the three types described in this section: one that is genuine, one that is merely verbal, and one that is
Identify and explain any fallacies of defective induction or of presumption in the following passages:A national mailing soliciting funds, by People for the Ethical Treatment of Animals (PETA),
Identify the premises and conclusions in the following passages. Some premises do support the conclusion, others do not. Note that premises may support conclusions directly or indirectly and that
If the odds in craps are 8-to-1 against rolling an 8 the “hard way” (that is, with two 4’s), what is the expectation purchased by a $1 bet on a “hard-way” 8?
Each of the following famous passages, taken from classical literature and philosophy, comprises a set of arguments whose complicated interrelations are critical for the force of the whole. Construct
Identify and explain the fallacies of relevance in the following passages:Like an armed warrior, like a plumed knight, James G. Blaine marched down the halls of the American Congress and threw his
Some of the following passages contain explanations, some contain arguments, and some may be interpreted as either an argumaent or an explanation. What is your judgment about the chief function of
Which of the various functions of language are exemplified by each of the following passages?What traveler among the ruins of Carthage, of Palmyra, Persepolis, or Rome, has not been stimulated to
Racially diverse nations tend to have lower levels of social support than homogenous ones. People don’t feel as bound together when they are divided on ethnic lines and are less likely to embrace
An urn contains 27 white balls and 40 black balls. What is the probability of getting four black balls in four successive drawings:A. If each ball drawn is replaced before making the next drawing?B.
Diagram each of the following passages, which may contain more than one argument.At his best, Lyndon Johnson was one of the greatest of all American presidents. He did more for racial justice than
A. Identify three disagreements in current political or social controversy that are of the three types described in this section: one that is genuine, one that is merely verbal, and one that is
Identify and explain any fallacies of defective induction or of presumption in the following passages:If you want a life full of sexual pleasures, don’t graduate from college. A study to be
Identify the premises and conclusions in the following passages. Some premises do support the conclusion, others do not. Note that premises may support conclusions directly or indirectly and that
Identify the kinds of agreement or disagreement most probably exhibited by the following pairs:a. A stitch in time saves nine.b. Better late than never.
Identify and explain the fallacies of relevance in the following passages:However, it matters very little now what the king of England either says or does; he hath wickedly broken through every moral
What expectation does a person with $15 have who bets on heads, beginning with a $1 bet, and uses the doubling technique, if the bettor resolves to play just four times and quit?
Each of the following famous passages, taken from classical literature and philosophy, comprises a set of arguments whose complicated interrelations are critical for the force of the whole. Construct
Some of the following passages contain explanations, some contain arguments, and some may be interpreted as either an argumaent or an explanation. What is your judgment about the chief function of
Identify the kinds of agreement or disagreement most probably exhibited by the following pairs:a. Absence makes the heart grow fonder.b. Out of sight, out of mind.
Orlando Patterson claims that “freedom is a natural part of the human condition.” Nothing could be further from the truth. If it were true, we could expect to find free societies spread
Which of the various functions of language are exemplified by each of the following passages?Moving due south from the center of Detroit, the fi rst foreign country one encounters is not Cuba, nor is
An urn contains 27 white balls and 40 black balls. What is the probability of getting four black balls in four successive drawings:A. If each ball drawn is replaced before making the next drawing?B.
Diagram each of the following passages, which may contain more than one argument.Married people are healthier and more economically stable than single people, and children of married people do better
A. Identify three disagreements in current political or social controversy that are of the three types described in this section: one that is genuine, one that is merely verbal, and one that is
Identify and explain any fallacies of defective induction or of presumption in the following passages:There is no surprise in discovering that acupuncture can relieve pain and nausea. It will
Identify the premises and conclusions in the following passages. Some premises do support the conclusion, others do not. Note that premises may support conclusions directly or indirectly and that
The probability of the shooter winning in craps is .493, slightly less than even, as we proved in the preceding section. In casinos, a bet that the shooter will win is a bet on what is called the
Translate each of the following into the logical notation of propositional functions and quantifiers, in each case using the abbreviations suggested and making each formula begin with a quantifier,
For each of the following arguments, it is possible to provide a formal proof of validity by validly inferring just three statements. Writing these out, carefully and accurately, will strengthen your
Use Conditional Proof to prove the validity of the following arguments. (P₂): JD (AVS) (P₂): KD (SVI) (P₂): ~S .. (~A~I) (~J. ~K)
For each of the following arguments, construct an indirect proof of validity. P₁: (MVN) P₂: (OVQ) P₂: (RVT) 3 :. R (O·P) (~R.S) (M.U)
For each of the following, either construct a formal proof of validity or prove invalidity by means of the STTT.(P1): M ⊃ (N ⋅ O)(P2): (N ꓦ O) ⊃ P∴ M ⊃ P
Here follows a set of twenty elementary valid arguments. They are valid because each of them is exactly in the form of one of the nine elementary valid argument forms. For each of them, state the
For each numbered statement that is not a premise in each of the formal proofs that follow, state the rule of inference that justifies it.1. (M ꓦ N) ⊃ (O ⋅ P)2. ~ O∴ ~ M3. ~ O ꓦ ~ P4. ~ (O
The following set of arguments involves, in each case, one inference only, in which one of the ten logical equivalences set forth in this section has been employed. Here are two examples, the first
Each of the following exercises presents a flawless formal proof of validity for the indicated argument. For each proof, state the justification for each inferred statement (i.e., each statement that
For the following statements, if there are forced truth-value assignments, make them. If there are no forced truth-value assignments, determine, using Maxim V, the requisite truth-value combinations
Translate each of the following into the logical notation of propositional functions and quantifiers, in each case using the abbreviations suggested and making each formula begin with a quantifier,
For each of the following arguments, it is possible to provide a formal proof of validity by validly inferring just three statements. Writing these out, carefully and accurately, will strengthen your
Use Conditional Proof to prove the validity of the following arguments. (P₁): (EVF) G (P₂): HD (I.J) :. (EG) (HDI)
For each of the following arguments, construct an indirect proof of validity. P₁: (DVE) (FG) P₂: (~GVH) (D.F) .. G
For each of the following, either construct a formal proof of validity or prove invalidity by means of the STTT.(P1): I ⊃ (J ꓦ K)(P2): (J ⋅ K) ⊃ L∴ I ⊃ L
Here follows a set of twenty elementary valid arguments. They are valid because each of them is exactly in the form of one of the nine elementary valid argument forms. For each of them, state the
For each numbered statement that is not a premise in each of the formal proofs that follow, state the rule of inference that justifies it.1. (H ꓦ I) ⊃ [J ⋅ (K ⋅ L)]2. I∴ J ⋅ K3. I ꓦ H4.
The following set of arguments involves, in each case, one inference only, in which one of the ten logical equivalences set forth in this section has been employed. Here are two examples, the first
The following set of arguments involves, in each case, one inference only, in which one of the ten logical equivalences set forth in this section has been employed. Here are two examples, the first
Each of the following exercises presents a flawless formal proof of validity for the indicated argument. For each proof, state the justification for each inferred statement (i.e., each statement that
For the following statements, if there are forced truth-value assignments, make them. If there are no forced truth-value assignments, determine, using Maxim V, the requisite truth-value combinations
Use Conditional Proof to prove the validity of the following arguments. (P₂): RD-M (P₂): RD (~M~S) (P₂): ~MD (~S~G) :. RD-G
For each of the following arguments, construct an indirect proof of validity. P₁: (GVH) G ~G
For each of the following, either construct a formal proof of validity or prove invalidity by means of the STTT.(P1): (E ⊃ F) ⋅ (G ⊃ H)∴ (E ꓦ G) ⊃ (F ⋅ H)
Here follows a set of twenty elementary valid arguments. They are valid because each of them is exactly in the form of one of the nine elementary valid argument forms. For each of them, state the
For each numbered statement that is not a premise in each of the formal proofs that follow, state the rule of inference that justifies it.1. (D ⋅ E) ⊃ F2. (D ⊃ F) ⊃ G∴ E ⊃ G3. (E ⋅ D)
The following set of arguments involves, in each case, one inference only, in which one of the ten logical equivalences set forth in this section has been employed. Here are two examples, the first
For the following statements, if there are forced truth-value assignments, make them. If there are no forced truth-value assignments, determine, using Maxim V, the requisite truth-value combinations
Translate each of the following into the logical notation of propositional functions and quantifiers, in each case using the abbreviations suggested and making each formula begin with a quantifier,
For each of the following arguments, it is possible to provide a formal proof of validity by validly inferring just three statements. Writing these out, carefully and accurately, will strengthen your
Use Conditional Proof to prove the validity of the following arguments. (P₁): ADB (P₂): B [(C~~C) D] :. ADD
For each of the following arguments, construct an indirect proof of validity. Pr: A V (B · C) P₂: ADC :.c C
For each of the following, either construct a formal proof of validity or prove invalidity by means of the STTT.(P1): (A ⊃ B) ⋅ (C ⊃ D)∴ (A ⋅ C) ⊃ (B ꓦ D)
For each numbered statement that is not a premise in each of the formal proofs that follow, state the rule of inference that justifies it.1. A ⊃ B2. C ⊃ ~ B∴ A ⊃ ~ C3. ~~ B ⊃
Using the letters E , I , J , L , and S to abbreviate the simple statements, “Egypt’s food shortage worsens,” “Iran raises the price of oil,” “Jordan requests more U.S. aid,” “Libya
Using the letters E , I , J , L , and S to abbreviate the simple statements, “Egypt’s food shortage worsens,” “Iran raises the price of oil,” “Jordan requests more U.S. aid,” “Libya
Using the letters E , I , J , L , and S to abbreviate the simple statements, “Egypt’s food shortage worsens,” “Iran raises the price of oil,” “Jordan requests more U.S. aid,” “Libya
Using the letters E , I , J , L , and S to abbreviate the simple statements, “Egypt’s food shortage worsens,” “Iran raises the price of oil,” “Jordan requests more U.S. aid,” “Libya
Using the letters E , I , J , L , and S to abbreviate the simple statements, “Egypt’s food shortage worsens,” “Iran raises the price of oil,” “Jordan requests more U.S. aid,” “Libya
Symbolize the following, using capital letters to abbreviate the simple statements involved.If Argentina does not mobilize, then either Brazil will not protest to the UN or Chile will not call for a
Use truth tables to decide which of the following biconditionals are tautologies.p = [p ⋅ (q ꓦ ~ q)]
If A , B , and C are true statements and X , Y , and Z are false statements, which of the following are true?~(A · B) ꓦ (X · Y)
Symbolize the following, using capital letters to abbreviate the simple statements involved.Either Argentina will mobilize or if Brazil protests to the UN, then Chile will call for a meeting of all
Use truth tables to decide which of the following biconditionals are tautologies.p = p ⋅ (q ⋅ ~ q)
If A , B , and C are true statements and X , Y , and Z are false statements, which of the following are true?~(C · Y) ꓦ (A · Z)
Symbolize the following, using capital letters to abbreviate the simple statements involved.If either Argentina mobilizes or Brazil protests to the UN, then Chile will call for a meeting of all the
Use truth tables to decide which of the following biconditionals are tautologies.p = [p ꓦ (q · ~ q)]
If A , B , and C are true statements and X , Y , and Z are false statements, which of the following are true?(B · C ) ꓦ (Y · Z)
Symbolize the following, using capital letters to abbreviate the simple statements involved.If Argentina mobilizes and Brazil protests to the UN, then Chile will call for a meeting of all the Latin
Use truth tables to decide which of the following biconditionals are tautologies.(p ⊃ q) ≡ [(p ꓦ q) = q]
If A , B , and C are true statements and X , Y , and Z are false statements, which of the following are true?(A · X ) ꓦ (B · Y)
Use truth tables to determine the validity or invalidity of the following arguments:If oil consumption continues to grow, then oil imports will increase and domestic oil reserves will be depleted. If
Symbolize the following, using capital letters to abbreviate the simple statements involved.If Argentina mobilizes, then Brazil will protest to the UN, and Chile will call for a meeting of all the
Use truth tables to decide which of the following biconditionals are tautologies.p = [p ꓦ (p ⊃ q)]
If A , B , and C are true statements and X , Y , and Z are false statements, which of the following are true?~ Z ꓦ X
Use truth tables to determine the validity or invalidity of the following arguments:If oil consumption continues to grow, then either oil imports will increase or domestic oil reserves will be
Symbolize the following, using capital letters to abbreviate the simple statements involved.If Argentina mobilizes, then Brazil will protest to the UN and Chile will call for a meeting of all the
Use truth tables to decide which of the following biconditionals are tautologies.p = [p ⋅ (q ⊃ p)
If A , B , and C are true statements and X , Y , and Z are false statements, which of the following are true?~ Y ꓦ C
Use truth tables to determine the validity or invalidity of the following arguments:If people are entirely rational, then either all of a person’s actions can be predicted in advance or the
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