I have to write a proof

SoccerBoss
Category:
Mathematics
Price: $5 USD

Question description

I have to write a proof using these three axioms: Axiom P1. For any two distinct points, there is exactly one line that contains both points. Axiom P2. The intersection of any two distinct lines is at least one point. Axiom P3. There exist at least four different points of which no three are on the same line. The proof is proving that this finite geometry ( with the lease number of points) can be derived from these three axioms in the Fano Geometry. P1 and P2 I understand, but I'm stuck on P3. How many points does this geometry have? and how can I draw a picture of it. I'm super stuck

Tutor Answer

(Top Tutor) Daniel C.
(997)
School: Duke University
PREMIUM TUTOR
Studypool has helped 1,244,100 students
Ask your homework questions. Receive quality answers!

Type your question here (or upload an image)

1827 tutors are online

Brown University





1271 Tutors

California Institute of Technology




2131 Tutors

Carnegie Mellon University




982 Tutors

Columbia University





1256 Tutors

Dartmouth University





2113 Tutors

Emory University





2279 Tutors

Harvard University





599 Tutors

Massachusetts Institute of Technology



2319 Tutors

New York University





1645 Tutors

Notre Dam University





1911 Tutors

Oklahoma University





2122 Tutors

Pennsylvania State University





932 Tutors

Princeton University





1211 Tutors

Stanford University





983 Tutors

University of California





1282 Tutors

Oxford University





123 Tutors

Yale University





2325 Tutors