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social science
introduction to logic

Questions and Answers of Introduction To Logic

The following dialogue contains ten arguments. Translate each into symbolic form and then use the eighteen rules of inference to derive the conclusion of each.Is This the End?Brian and Molly are at
Vitamin E is an antioxidant and a useless food supplement if and only if it does not reduce heart disease. It is not the case either that vitamin E does not reduce heart disease or is not an
If parents are told that their unborn child has Tay–Sachs disease, then if they go ahead with the birth, then they are responsible for their child’s pain and suffering. Therefore, if parents are
If two black holes collide, then Einstein’s general theory is proven true and gravitational waves are propagated throughout the universe. Either two black holes collide, or space-time is distorted
If grade-school children are assigned daily homework, then their achievement level will increase dramatically. But if grade-school children are assigned daily homework, then their love for learning
If selecting a Supreme Court justice creates intense political upheaval and extreme efforts are expended to block judicial candidates, then Supreme Court rulings are contaminated with political bias.
If Congress enacts a law that either establishes a religion or prohibits the free exercise of religion, then that law is unconstitutional. Therefore, if Congress enacts a law that establishes a
If birth-control devices are made available in high school clinics, then the incidence of teenage pregnancy will decrease. Therefore, if both birth-control information and birth-control devices are
It is not the case that strict controls exist on either the manufacture or the sale of handguns. Therefore, if strict controls exist on the sale of handguns, then the use of handguns in the
If there is a direct correlation between what a nation spends for health care and the health of its citizens, then America has the lowest incidence of disease and the lowest mortality rates of any
If sports-shoe manufacturers decline to use kangaroo hides in their products, then Australian hunters will cease killing millions of kangaroos yearly. It is not the case that both Australian hunters
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. PDA 2. QOB / (PvQ) (Av B)
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. PDA 2. QOB / (PvQ) (Av B)
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. H=I 2. HD (IDF) 3. ~(HVI) OF IF
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. OD (Q.N) 2. (NVE) DS /ODS
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. G=M 2. GVM 3. GD (MDT) m IT
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. (SVT) (S~T) 2. (SDT) (TJK) 3. SVT / SvK
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. (SVT) (S~T) 2. (SDT) (TJK) 3. SVT / SvK
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. A = W 2. ~Av~W 3. RDA /~(WVR)
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. (LvP) DU 2. (MJU) DI 3. P II
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. (OR) 2. (POR) S S I~R
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. (DE) (ED) 2. (DE) D~(G.~H) 3. E.G / G. H
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. TD (ADN) 2. TV N /T=~N
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. T (HJ) 2. (HVN) DT | T=H
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. (F.H) ON 2. FVS 3. H / NvS
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. (EA) (FDA) 2. Ev G 3. Fv G I A
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. CD (~LDQ) 2. LO~C 3. ~Q I~C
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. K=R 2. KO (RDP) 3. P I~R
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. Iv (N.F) 2. IDF IF
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. (GJ) (HQ) 2. J~Q 1~H
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. PD (~ED B) 2. ~(BVE) /~P
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. Q (W.D) /QOW
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. HOU /HD (UvT)
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. TOG 2. SOG / (TVS) G
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. (IDE) C 2.C3-C / I
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. F (A.K) 2. G (~A~K) 3. FVG / A=K
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. S (L.M) 2. MD (LOR) ISOR
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. JD (GOL) /GD (JL)
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. H > B 2. ~H 3D 3. (BD)
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. ~RvP 2. Rv P / R=P
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. M (UDH) 2. (Hv~U) OF IMDF
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. SV N 2. ~SVQ INDQ
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. TOR 2. TO R /~T
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. ~(U. W) X 2. UD U /~(UV~X)
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. (0 C).(~S~D) 2. (ED) (~E~C) /ODS
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. K (BM) 2. D (KM) IDD B
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. T ISOT
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. (J.R) H 2. (RH) M 3. ~(Pv~J) / M.~P
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. (BG) (FIN) 2. ~(G.N) /~(B.F)
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. TD (~TVG) 2. ~G /~T
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. QD (FDA) 2. RD (ADF) 3. Q.R | F=A
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. (BM). (DM) 2. BvD I M
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. FOB 2. B (BOJ) IFDJ
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. ~NV P 2. (NDP) OT IT
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. S=Q 2. ~S 1~Q
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. GOE 2. HD E IGO H
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. T (Fv F) 2. ~(F.F) /~T
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. T (Fv F) 2. ~(F.F) /~T
Use the eighteen rules of inference to derive the conclusions of the following symbolized arguments. 1. (S.K) DR 2. K ISOR
In the following symbolized arguments, derive the line needed to obtain the conclusion (last line), and supply the justification for both lines. 1. QD (~W~G) 2. 3. (Q.G) W
In the following symbolized arguments, derive the line needed to obtain the conclusion (last line), and supply the justification for both lines. 1. QD (~W~G) 2. 3. (Q.G) W
In the following symbolized arguments, derive the line needed to obtain the conclusion (last line), and supply the justification for both lines. 1. E.R 2. 3. E R
In the following symbolized arguments, derive the line needed to obtain the conclusion (last line), and supply the justification for both lines. 1. (NDA).(~N~A) 2. 3. N=A
In the following symbolized arguments, derive the line needed to obtain the conclusion (last line), and supply the justification for both lines. 1. MD (MDD) 2. 3. MOD
In the following symbolized arguments, derive the line needed to obtain the conclusion (last line), and supply the justification for both lines. 1. ~S 2. 3. SOK
In the following symbolized arguments, derive the line needed to obtain the conclusion (last line), and supply the justification for both lines. H~CHI 2. 3. ~H
In the following symbolized arguments, derive the line needed to obtain the conclusion (last line), and supply the justification for both lines. 1. K (ADF) 2. ~F 3. 4. ~(K.A)
In the following symbolized arguments, derive the line needed to obtain the conclusion (last line), and supply the justification for both lines. 1. ~G~T 2. GON 3. 4. TON ||
In the following symbolized arguments, derive the line needed to obtain the conclusion (last line), and supply the justification for both lines. 1. HD (~CVR) 2. 3. (H.C) DR ||
In the following symbolized arguments, derive the line needed to obtain the conclusion (last line), and supply the justification for both lines. 1. JD (MDQ) 2. J. M 3. 4. Q
In the following symbolized arguments, derive the line needed to obtain the conclusion (last line), and supply the justification for both lines. 1. (GB) (~CD~H) 2. GvH 3. 4. Bv C
In the following symbolized arguments, derive the line needed to obtain the conclusion (last line), and supply the justification for both lines. 1. (GK) (TK) 2. GVT 3. 4. K
In the following symbolized arguments, derive the line needed to obtain the conclusion (last line), and supply the justification for both lines. 1. CDA 2. ADC 3. 4. C = A ||
In the following symbolized arguments, derive the line needed to obtain the conclusion (last line), and supply the justification for both lines. 1. (J.F) ON 2. J 3. 4. FON ||
In the following symbolized arguments, derive the line needed to obtain the conclusion (last line), and supply the justification for both lines. 1. (J.F) ON 2. J 3. 4. FON ||
In the following symbolized arguments, derive the line needed to obtain the conclusion (last line), and supply the justification for both lines. 1. ~JvM B M .2 3. B4 ||
In the following symbolized arguments, derive the line needed to obtain the conclusion (last line), and supply the justification for both lines. 1. ~JvM B M .2 3. B4 ||
For each of the following lists of premises, derive the indicated conclusion and complete the justification. For tautology, derive a conclusion that is simpler than the premise. 1. (SVS) D 2. K (T~T)
For each of the following lists of premises, derive the indicated conclusion and complete the justification. For tautology, derive a conclusion that is simpler than the premise. 1. (~KvM)=S 2. Tv
For each of the following lists of premises, derive the indicated conclusion and complete the justification. For tautology, derive a conclusion that is simpler than the premise. 1. (A~C) 2. (W~T) 3.
For each of the following lists of premises, derive the indicated conclusion and complete the justification. For tautology, derive a conclusion that is simpler than the premise. 1. H (KJ) 2. (NVE) B
For each of the following lists of premises, derive the indicated conclusion and complete the justification. For tautology, derive a conclusion that is simpler than the premise. 1. K. (SVB) 2. ~F~J
For each of the following lists of premises, derive the indicated conclusion and complete the justification. For tautology, derive a conclusion that is simpler than the premise. 1. L (ADA) 2. KO (Rv
For each of the following lists of premises, derive the indicated conclusion and complete the justification. For tautology, derive a conclusion that is simpler than the premise. 1. (D.H) v (~D.~H) 2.
For each of the following lists of premises, derive the indicated conclusion and complete the justification. For tautology, derive a conclusion that is simpler than the premise. 1. ED (RQ) 2. (G.N)
For each of the following lists of premises, derive the indicated conclusion and complete the justification. For tautology, derive a conclusion that is simpler than the premise. 1. ~CD~F 2. Dv~P 3.
For each of the following lists of premises, derive the indicated conclusion and complete the justification. For tautology, derive a conclusion that is simpler than the premise. 1. SV M 2. ~N~T 3.
For each of the following lists of premises, derive the indicated conclusion and complete the justification. For tautology, derive a conclusion that is simpler than the premise. 1. Ev E 2. AVA 3. G.
For each of the following lists of premises, derive the indicated conclusion and complete the justification. For tautology, derive a conclusion that is simpler than the premise. 1. (BN) (NB) 2. (RvF)
For each of the following lists of premises, derive the indicated conclusion and complete the justification. For tautology, derive a conclusion that is simpler than the premise. 1. (BN) (NB) 2. (RvF)
For each of the following lists of premises, derive the indicated conclusion and complete the justification. For tautology, derive a conclusion that is simpler than the premise. 1. (BN) (NB) 2. (RvF)
Create four symbolized arguments consisting of at least three premises each, and whose proof requires at least two of the rules introduced in this section. The arguments should look like those in
The following dialogue contains eight arguments. Translate each into symbolic form and then use the first thirteen rules of inference to derive the conclusion of each.New CradleChloe, with youngster
The following dialogue contains eight arguments. Translate each into symbolic form and then use the first thirteen rules of inference to derive the conclusion of each.New CradleChloe, with youngster
Either school dropout programs are not as effective as they could be, or they provide basic thinking skills and psychological counseling to their students. Either school dropout programs are not as
is not the case that either the sun’s interior rotates faster than its surface or Einstein’s general theory of relativity is wrong. If the sun’s interior does not rotate faster than its surface
If women are by nature either passive or uncompetitive, then it is not the case that there are lawyers who are women. If men are by nature either insensitive or without the ability to nurture, then
If China is to reduce its huge trade surplus, then it must either convince its citizens to spend more or it must move its manufacturing facilities to other countries. It is not the case that China
If workers have a fundamental right to a job, then unemployment will be virtually nonexistent but job redundancy will become a problem. If workers have no fundamental right to a job, then production
Protein engineering will prove to be as successful as genetic engineering, and new enzymes will be developed for producing food and breaking down industrial wastes. If protein engineering proves to

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