It takes the average reader 1 hour and 41 minutes to read Induction, Bounding, Weak Combinatorial Principles, and the Homogeneous Model Theorem by Denis R. Hirschfeldt
Assuming a reading speed of 250 words per minute. Learn more
Goncharov and Peretyat'kin independently gave necessary and sufficient conditions for when a set of types of a complete theory is the type spectrum of some homogeneous model of . Their result can be stated as a principle of second order arithmetic, which is called the Homogeneous Model Theorem (HMT), and analyzed from the points of view of computability theory and reverse mathematics. Previous computability theoretic results by Lange suggested a close connection between HMT and the Atomic Model Theorem (AMT), which states that every complete atomic theory has an atomic model. The authors show that HMT and AMT are indeed equivalent in the sense of reverse mathematics, as well as in a strong computability theoretic sense and do the same for an analogous result of Peretyat'kin giving necessary and sufficient conditions for when a set of types is the type spectrum of some model.
Induction, Bounding, Weak Combinatorial Principles, and the Homogeneous Model Theorem by Denis R. Hirschfeldt is 101 pages long, and a total of 25,351 words.
This makes it 34% the length of the average book. It also has 31% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 2 hours and 18 minutes to read Induction, Bounding, Weak Combinatorial Principles, and the Homogeneous Model Theorem aloud.
Induction, Bounding, Weak Combinatorial Principles, and the Homogeneous Model Theorem is suitable for students ages 10 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
When deciding what to show young students always use your best judgement and consult a professional.
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