Degrees of Separation: Erdős

Degrees of Separation: Erdős

Assessment

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Science, Mathematics

6th - 12th Grade

Hard

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Paul Erdish was a Hungarian mathematician known for his nomadic lifestyle and extensive collaborations, resulting in over 1500 papers with more than 500 co-authors. His work spanned various fields, including number theory and graph theory. Erdish numbers, a concept developed by his peers, measure the collaborative distance from Erdish, with notable figures like Albert Einstein and Stephen Hawking having Erdish numbers of 2 and 4, respectively. Erdish's legacy continues as mathematicians strive to lower their Erdish numbers, reflecting his influence and encouragement of mathematical exploration.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What was unique about Paul Erdish's lifestyle that contributed to his extensive collaborations?

He lived in a single country all his life.

He worked only with mathematicians from his hometown.

He traveled the world and relied on collaborators for accommodation.

He preferred to work alone without any co-authors.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many co-authors did Paul Erdish collaborate with during his lifetime?

Over 2000

Over 1000

Over 500

Over 100

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does an Erdish number represent?

The number of papers a mathematician has published.

The collaborative distance from Paul Erdish.

The number of countries Erdish visited.

The number of theories Erdish developed.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a mathematician has an Erdish number of 2, what does it mean?

They co-authored directly with Erdish.

They co-authored with someone who co-authored with Erdish.

They have not published any papers.

They have an Erdish number of infinity.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why have Erdish numbers become a playful measure in the mathematical community?

They reflect a mathematician's proximity to Erdish's collaborative network.

They are used to rank universities.

They determine the salary of a mathematician.

They are used to measure a mathematician's age.