Joel David Hamkins

mathematics and philosophy of the infinite

Search

Main menu

Skip to primary content

Skip to secondary content

Home
Publications
Talks
Appointments and Grants
Teaching
- About My Courses
Students
- About My Graduate Students
- List of My Graduate Students
Mathematical Shorts
Math for Kids

Tag Archives: Science News

Quoted in Science News

Posted on August 31, 2003 by Joel David Hamkins

Reply

I was quoted briefly in Infinite Wisdom: A new approach to one of mathematics’ most notorious problems, Science News, by Erica Klarrreich, August 30, 2003, in an article about Woodin’s attempted solution of the continuum hypothesis.

Share:

Click to share on Twitter (Opens in new window)
Click to share on Facebook (Opens in new window)
Click to share on Reddit (Opens in new window)
Click to share on WhatsApp (Opens in new window)
Click to email this to a friend (Opens in new window)
Click to print (Opens in new window)
More

Click to share on LinkedIn (Opens in new window)
Click to share on Tumblr (Opens in new window)
Click to share on Pocket (Opens in new window)
Click to share on Pinterest (Opens in new window)

Posted in Asides | Tagged CH, in the news, Science News, W. Hugh Woodin | Leave a reply

Recent Comments

Joel David Hamkins on Nonlinearity in the hierarchy of large cardinal consistency strength
Joseph Shipman on Nonlinearity in the hierarchy of large cardinal consistency strength
Solutions to the Continuum Hypothesis ~ MathOverflow ~ mathubs.com on Is the dream solution of the continuum hypothesis attainable?
Online Activities 12-18 April | European Set Theory Society on Determinacy for proper class games, Seminaire de Logique Lyon-Paris, April 2021
Esther yu on Math for eight-year-olds: graph theory for kids!

JDH on Twitter

Blogroll

A kind of library
Aleph zero categorical
Barbara Gail Montero
Benjamin Steinberg
Cantor’s Attic
Combinatorics and more
GC Math Department
Global Set Theory Talks
Gowers’s weblog
JDH on Wikipedia
Mathblogging.org
MathOverflow
Peano’s parlour
Richard Zach
Terence Tao

Mathoverflow activity

Comment by Joel David Hamkins on Can relative constructibility of subsets of some set via set unions have a limit below the cardinality of that set?
You have new subsets arising, yes, but the union issue seems moot to me, since the union of set always appears with the set or before.
Comment by Joel David Hamkins on Can relative constructibility of subsets of some set via set unions have a limit below the cardinality of that set?
My point is that the union of any set in the hierarchy always appears at or before that same stage, as a general feature of these hierarchies. You never need to go higher to construct the union of a set you already have.
Comment by Joel David Hamkins on Can relative constructibility of subsets of some set via set unions have a limit below the cardinality of that set?
Most accounts of $L_\gamma(A)$ and $L_\gamma[A]$ are closed under unions of their sets. So this would be automatically true for any $A$ and any $\gamma$, and any set $u$, not just subsets of $A$. So I'm not sure what you intend to ask?
Comment by Joel David Hamkins on How many models of Peano arithmetic are isomorphic to the standard model and how many models of Peano arithmetic are non-standard?
Yes. There are $2^{\omega_1}$ many distinct $\omega_1$-like models of PA (and of ZFC), as explained in this article: jdh.hamkins.org/….
Comment by Joel David Hamkins on Does every countable set of Turing degrees have an upper bound, without AC?
I think it is good to concentrate the issue on mod-finite.
Comment by Joel David Hamkins on Does every countable set of Turing degrees have an upper bound, without AC?
In the proof of the small observation, I feel more should be said. The point is that if you had an upper bound for the mod-finite classes, then you could fix a representative, and use that to choose least-programs producing a suitable set in the nth Turing degree from that oracle. So the point isn't […]
Comment by Joel David Hamkins on Does every countable set of Turing degrees have an upper bound, without AC?
Is there some standard way to preserve $\langle[r_n]_{\text{fin}}\mid n\in\mathbb{N}\rangle$ in a symmetric extension, while lacking $\langle r_n\mid n\in\mathbb{N}\rangle$? (I feel you are about to explain the superiority of symmetric systems to me.)
Comment by Joel David Hamkins on Does every countable set of Turing degrees have an upper bound, without AC?
Yes, of course.

New York Logic

Title TBA
Resource Sharing Linear Logic, I
Sub-Kripkean epistemic models I
Generic logical semantics of justifications III
Generic logical semantics of justifications II
Generic logical semantics of justifications.
Cut Elimination
Functors and infinitary interpretations of structures
Recursive Reducts of PA III
Kripke completeness of strictly positive modal logics and related problems

Cantor’s Attic activity

Meta

Log in
Entries feed
Comments feed
WordPress.org

Subscribe to receive update notifications by email.

Email Address

Tags

absoluteness Arthur Apter buttons+switches CH chess class forcing computability countable models definability determinacy elementary embeddings equivalence relations ETR forcing forcing axioms games GBC geology ground axiom HOD hypnagogic digraph indestructibility infinitary computability infinite chess infinite games ITTMs Jonas Reitz kids KM large cardinals maximality principle modal logic models of PA multiverse open games Oxford potentialism PSC-CUNY supercompact truth universal definition universal program Victoria Gitman W. Hugh Woodin weakly compact

Proudly powered by WordPress

Send to Email Address Your Name Your Email Address

Cancel

Post was not sent - check your email addresses!

Email check failed, please try again

Sorry, your blog cannot share posts by email.