Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. use models to show that each of the following stat

Use models to show that each of the following statements is independent of the axioms of...

90.2K

Verified Solution

Question

Advance Math

Use models to show that each of the following statements isindependent of the axioms of incidence geometry:

(a) Given any line, there are at least two distinct points thatdo not lie on it.

(b) Given any point, there are at least three distinct linesthat contain it.

(c) Given any two distinct points, there is at least one linethat does not contain either of them.

Answer & Explanation Solved by verified expert
4.0 Ratings (580 Votes)
The axiom of incidence between points and lines aregiven belowThere are at least two distinct points There is one and only one line that contains two distinctpointsEvery line contains    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Finance
1.2K views

the ability to identify and record financial transactions is a core skill of accountants and bookkeepers...

Statistics
1.2K views

Suppose we are interested in the proportion of nursing majors at a university, and we take...

Medical Sciences
1.2K views

Case Study #2 Part 1. Make a case study (written by medical professionals for medical professionals) using...

Medical Sciences
1.2K views

1.Which of the following characterizes a relative polycythemia? There may be more than one answer. Select...

Physics
1.2K views

Q33 A wooden stick of length L radius R and den sity p has a...

Calculus
1.2K views

Exercice III 10 Points Find the Fourier series of the function if 0 x if...

Calculus
1.2K views

T a The degree measure of rad is 10 b The radian measure of 30...

Algebra
1.2K views

What is the degree measure of the angle A 15m 2 Select one Ob 1350...

Accounting
1.2K views

8. Identify and describe the management assertions relevant to: (a) inventory and (b) accounts payable....

Accounting
1.2K views

RWP5-1(Algo) Great Adventures Continuing Problem [The following information applies to the questions displayed...

Accounting
1.2K views

On December 31, 2018, Coolwear Inc. had balances in Accounts Receivable and Allowance for Uncollectible...

Accounting
1.2K views

Question 8 2.5 pts A landlord records the collection of a tenant's security deposit as...