The set R of all constructive real numbers is the constructive real line.
It also led to the introduction of a sharpened definition of real numbers the constructive real numbers.
The constructive real line R as introduced above is a model of CA. Are there any other models, that is, models not isomorphic to R. If classical logic is assumed, CA is a categorical theory and so the answer is no.
These relations and operations are subject to the following three groups of axioms, which, taken together, form the system CA of axioms for constructive analysis, or the constructive real numbers (see Bridges [1999]).
The science of verification appealed to him, he said, because it turned traditional physics "upside down" in a constructive, interesting, real-world way.
When United Nations delegates met in New York earlier in May to discuss next year's review of the Nuclear Nonproliferation Treaty, the United States played a constructive role, and real progress was made.
However, the Saudis may be reluctant to take part unless they are convinced that there is a real chance of a constructive outcome.
"I hope that after you assume the position of the President of the United States of America we will be able — by acting in a constructive and pragmatic manner — to take real steps to restore the framework of bilateral cooperation in different areas as well as bring our level of collaboration on the international scene to a qualitatively new level," read the letter.
Putin supposedly wrote: "I hope that after you assume the position of the President of the United States of America we will be able – by acting in a constructive and pragmatic manner - to take real steps to restore the framework of bilateral cooperation in different areas as well as bring our level of collaboration on the international scene to a qualitatively new level".
The gathering generates what Mr. Chancey called "friction," a constructive tension between those who have accumulated real experience at sea and those who are drawn to them.
