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The phrase "multiplicity of ideas" is correct and usable in written English.
You can use the phrase to refer to a variety of ideas or perspectives presented in a particular situation. For example, "The discussion included a multiplicity of ideas on how best to address the problem."
Exact(6)
The Middle Ages were thus beset by a multiplicity of ideas, both homegrown and imported from abroad.
One difficulty had to do with reconciling the multiplicity of ideas with God's unity: since there are many species of being, there must be a corresponding number of ideas; but God is one and, hence, cannot contain any multiplicity.
Paul develops four rational pieces of evidence for supporting the thesis of the eternal existence in God's mind of a multiplicity of ideas, conceived of as the formal patterns and principles (exemplaria) of creatures.
There are different Platonic Ideas, and although this multiplicity of Ideas implies that some measure of individuation is present within this realm, each Idea nonetheless contains no plurality within itself and is said to be "one".
But since all these diverse ways are understood in a single eternal act of understanding, which is nothing but the act of divine being, and which in turn is again the divine essence itself, the multiplicity of ideas does not entail any corresponding multiplicity of the divine essence.
The assessment of different solutions is complicated by the multiplicity of ideas on what the most relevant criteria are for choosing among different single and multilocus barcoding strategies, and by lack of clarity about the weightings that ought to be placed on their relative importance.
Similar(53)
What's exciting about her writing here is the multiplicity of the ideas it engages.
Therefore, the fifth section is going to deal with the main ontological and epistemological problems generated by this theory, namely, the apparent conflict between divine simplicity and the multiplicity of divine ideas, on the one hand, and the tension between the Augustinian theory of divine illumination and Aristotelian abstractionism, on the other.
But Yerushalmy — who has been presenting her work steadily in small venues in New York, as well as elsewhere in the U.S. and Europe, for the past decade or so — is interested only in what she calls "a multiplicity of utterances, or ideas, that take their form in movement".
Throughout her time at MOCA, Molesworth translated bold assertions into bold exhibitions, curating visionary shows that highlighted a multiplicity of voices and ideas otherwise thrust to the margins.
From the sheer multiplicity of mistakes, bad ideas and wrong turns, something of unexpected value might result, something heretofore unknown and unthought of.
More suggestions(16)
multiplicity of needs
multiplicity of minds
multiplicity of views
multiplicity of allotropes
multiplicity of diversions
multiplicity of concerns
multiplicity of triples
multiplicity of choices
multiplicity of utterances
multiplicity of media
multiplicity of languages
multiplicity of funds
multiplicity of voices
multiplicity of alternatives
multiplicity of events
multiplicity of mechanisms
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com