1. In the sentence "PhD students need to be able to analyze data, develop and test theories, and solve complex problems.", there is a missing article before "PhD students". It should be "The PhD students" or "PhD students need to be able to...".
  2. In the sentence "Logic-mathematical intelligence provides them with the cognitive tools to perform these tasks effectively.", there is a missing comma after "intelligence". It should be "Logic-mathematical intelligence, provides them with the cognitive tools to perform these tasks effectively."
  3. In the sentence "Students with high logical mathematical intelligence are better able to analyze research data and organize their thoughts in a clear, coherent way.", there is a missing article before "logical mathematical intelligence". It should be "Students with high logical mathematical intelligence are better able to analyze research data and organize their thoughts in a clear, coherent way."
  4. In the sentence "Of course, this is not to say that other intelligence is not needed.", there is a double negative which makes the sentence unclear. It should be "Of course, this does not mean that other intelligence is not important."
  5. In the sentence "Examples include linguistic intelligence for effective communication, interpersonal intelligence for cooperation, and self-intelligence for self-awareness and self-regulation.", the word "self-intelligence" is not a commonly used term. It should be replaced with "intrapersonal intelligence" which is a more widely recognized term.
请用英语在语法和语言结构上找出这段话的问题:In my opinion for a doctoral student in science and engineering the most important intelligence is mathematical logic intelligence which includes rational thinking and mathematic

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