before vowels, hol-, word-forming element meaning "whole, entire, complete," from Greek holos "whole, entire, complete," also "safe and sound;" as a noun, "the universe," as an adverb, "on the whole;" from PIE *sol-wo-, from root *sol- "whole." Often translated as whole, which it resembles but with which it apparently has no etymological connection.
before vowels phren-, word-forming element meaning "mind," also, in medical use, "diaphragm, muscle which parts the abdomen from the thorax;" from Greek phrēn, phrenos "the mind, spirit," also "the midriff, diaphragm," also (in plural, phrenes) "the parts around the heart, the breast," and hence "wits, sense, sanity, mind" on the notion of the breast or heart as the seat of thoughts and passions.
The word is of uncertain origin; Watkins has it under a proposed PIE root *gwhren- "to think." Beekes finds the connection with phrassein "to fence or hedge in" "semantically attractive," but there are phonetic difficulties, and he finds "quite feasible" a relationship with phrazomai "to think, consider" (later phrazein; see phrase (n.)), itself an isolated word.