The phrase "different conceptions" refers to the various ideas or understandings that people have about something. It means that people have different perspectives or opinions about a particular topic or concept. Full definition
Every person has different conception about the partner they like to date with or marry to. (mexicandatingo.com)
Thompson and Raynor (1998) argue that, rather than being obstacles to be overcome, the uneasy coexistence of different conceptions of natural vulnerability and societal fairness is a source of resilience and the key to the institutional plurality that actually enables us to apprehend and adapt to our ever - changing circumstances. (ipcc.ch)
Since there are many different conceptions of God, in any discussion where this word is used there will be a tendency to confuse one meaning with another and thus lead to misunderstanding. (religion-online.org)