1. Translate the following English sentences into FOL, and the FOL sentences into clear, simple English. (Note that your translations, if correct, will all be true in Bolzano's World below.) 1. If a is to the left of or right of d then a is a cube. 2. e is to the right of a, provided a is left of c. 3. If e is a tetrahedron, then it's to the right of b only if it is also in front of b. 4. b is a dodecahedron unless e is a tetrahedron. 5. d is a cube if and only if it is neither a tetrahedron nor a dodecahedron. 6. d is the same shape as b only if they are the same size. 7.(Large(a) A Cube(a)) → Medium(a) [Use the word 'unless' in your English sentence.] 8. (BackOf(d, c) A SameRow(d, b)) → BackOf(b, c) 9. (Tet(a) A Tet(d)) → (Cube(b) A Cube(e)) 10. SameSize(b, d) → (Small(b) Small(d)) 8. 9. 10. 1. b 2. 3. 4. ம் 5. C 6. 7.
1. Translate the following English sentences into FOL, and the FOL sentences into clear, simple English. (Note that your translations, if correct, will all be true in Bolzano's World below.) 1. If a is to the left of or right of d then a is a cube. 2. e is to the right of a, provided a is left of c. 3. If e is a tetrahedron, then it's to the right of b only if it is also in front of b. 4. b is a dodecahedron unless e is a tetrahedron. 5. d is a cube if and only if it is neither a tetrahedron nor a dodecahedron. 6. d is the same shape as b only if they are the same size. 7.(Large(a) A Cube(a)) → Medium(a) [Use the word 'unless' in your English sentence.] 8. (BackOf(d, c) A SameRow(d, b)) → BackOf(b, c) 9. (Tet(a) A Tet(d)) → (Cube(b) A Cube(e)) 10. SameSize(b, d) → (Small(b) Small(d)) 8. 9. 10. 1. b 2. 3. 4. ம் 5. C 6. 7.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![1. Translate the following English sentences into FOL, and the FOL sentences into clear,
simple English. (Note that your translations, if correct, will all be true in Bolzano's World
below.)
1. If a is to the left of or right of d then a is a cube.
2. e is to the right of a, provided a is left of c.
3. If e is a tetrahedron, then it's to the right of b only if it is also in front of b.
4. b is a dodecahedron unless e is a tetrahedron.
5. d is a cube if and only if it is neither a tetrahedron nor a dodecahedron.
6. d is the same shape as b only if they are the same size.
7.(Large(a) A Cube(a)) → Medium(a) [Use the word 'unless' in your English sentence.]
8. (BackOf(d, c) A SameRow(d, b)) → BackOf(b, c)
9. (Tet(a) A Tet(d)) → (Cube(b) A Cube(e))
10. SameSize(b, d) → (Small(b)
Small(d))
8.
9.
10.
1.
b
2.
3.
4.
ம்
5.
C
6.
7.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F33f54429-73f0-4669-baa7-d3b1803fb8c1%2Fba65e21a-8655-4367-bf25-b2d533046f4e%2Fxjnsqxj_processed.png&w=3840&q=75)
Transcribed Image Text:1. Translate the following English sentences into FOL, and the FOL sentences into clear,
simple English. (Note that your translations, if correct, will all be true in Bolzano's World
below.)
1. If a is to the left of or right of d then a is a cube.
2. e is to the right of a, provided a is left of c.
3. If e is a tetrahedron, then it's to the right of b only if it is also in front of b.
4. b is a dodecahedron unless e is a tetrahedron.
5. d is a cube if and only if it is neither a tetrahedron nor a dodecahedron.
6. d is the same shape as b only if they are the same size.
7.(Large(a) A Cube(a)) → Medium(a) [Use the word 'unless' in your English sentence.]
8. (BackOf(d, c) A SameRow(d, b)) → BackOf(b, c)
9. (Tet(a) A Tet(d)) → (Cube(b) A Cube(e))
10. SameSize(b, d) → (Small(b)
Small(d))
8.
9.
10.
1.
b
2.
3.
4.
ம்
5.
C
6.
7.
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