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1. Fill in the blanks: Let g1 and g2 be a given pair of gorks. By Axiom ___-, some zork z snorks both of them. Suppose another zork z' also snorks both 81 and g2. Then _____ and both and -_, contradicting Axiom there can't be such a zork z', and therefore there is are each snorked by ___- So only one zork that snorks þoth gorks.

1. Fill in the blanks: Let g1 and g2 be a given pair of gorks. By Axiom ___-, some zork z snorks both of them. Suppose another zork z' also snorks both 81 and g2. Then _____ and both and -_, contradicting Axiom there can't be such a zork z', and therefore there is are each snorked by ___- So only one zork that snorks þoth gorks.

Advanced Engineering Mathematics
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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Undefined terms: zork, gork, snork Axioms: 1. For every pair of zorks z1 and z2 , there is exactly one gork g such that z1 snorks g and z2 snorks g. 2. For every pair of gorks g1 and g2, there is a zork z that snorks both g1 and g2. 3. There are at least four distinct zorks, no three of which snork the same gork. Activities: 1. Fill in the blanks: Let g1 and g2 be a given pair of gorks. By Axiom ____, some zork z snorks both of ----- them. Suppose another zork z' also snorks both 81 and g2. Then and _--_ are each snorked by --, contradicting Axiom there can't be such a zork z', and therefore there is both and ----- So only one zork that snorks both gorks. 2. Draw a model for this system in which a zork is a point, a gork is a line, and "snorks" means "lies on." Use as few zorks as possible. 3. In your model, are there three gorks that are snorked by the same zork? Must this always be the case?
Transcribed Image Text:Undefined terms: zork, gork, snork Axioms: 1. For every pair of zorks z1 and z2 , there is exactly one gork g such that z1 snorks g and z2 snorks g. 2. For every pair of gorks g1 and g2, there is a zork z that snorks both g1 and g2. 3. There are at least four distinct zorks, no three of which snork the same gork. Activities: 1. Fill in the blanks: Let g1 and g2 be a given pair of gorks. By Axiom ____, some zork z snorks both of ----- them. Suppose another zork z' also snorks both 81 and g2. Then and _--_ are each snorked by --, contradicting Axiom there can't be such a zork z', and therefore there is both and ----- So only one zork that snorks both gorks. 2. Draw a model for this system in which a zork is a point, a gork is a line, and "snorks" means "lies on." Use as few zorks as possible. 3. In your model, are there three gorks that are snorked by the same zork? Must this always be the case?
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