STRICLY NEED A DIAGRAM A. Given a certain system that has the following set of axioms: A1: There are four roads in a certain town. A2: Each two roads have exactly one common spotlight. A3: Each spotlight is on exactly two roads. A4: There are exactly four spotlights in the town. 1. Identify the undefined and defined terms in the axiomatic system. Classify each term as to whether it is an element or a relation. 2. Make a concrete model of the axiomatic system and verify the correctness of your model. 3. Check if the axiomatic system is consistent.
STRICLY NEED A DIAGRAM A. Given a certain system that has the following set of axioms: A1: There are four roads in a certain town. A2: Each two roads have exactly one common spotlight. A3: Each spotlight is on exactly two roads. A4: There are exactly four spotlights in the town. 1. Identify the undefined and defined terms in the axiomatic system. Classify each term as to whether it is an element or a relation. 2. Make a concrete model of the axiomatic system and verify the correctness of your model. 3. Check if the axiomatic system is consistent.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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STRICLY NEED A DIAGRAM
A. Given a certain system that has the following set of axioms:
A1: There are four roads in a certain town.
A2: Each two roads have exactly one common spotlight.
A3: Each spotlight is on exactly two roads.
A4: There are exactly four spotlights in the town.
1. Identify the undefined and defined terms in the axiomatic system. Classify each term as to whether it is an element or a relation.
2. Make a concrete model of the axiomatic system and verify the correctness of your model.
3. Check if the axiomatic system is consistent.
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