Usually means: Not based on concrete evidence.
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We found 3 dictionaries that define the word nonconstructive:

General (3 matching dictionaries)
  1. nonconstructive: Merriam-Webster
  2. nonconstructive: Collins English Dictionary
  3. nonconstructive: Wiktionary

Definitions from Wiktionary (nonconstructive)

adjective:  Not constructive.
adjective:  Not involving construction.
adjective:  (mathematics) That proves the existence of something without demonstrating a method of construction.

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